연립방정식 문제(2-2) by 박연아 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb 학번 이름을 먼저 써주세요. en-us 2021-06-14 01:47:05 UTC 2024-06-07 21:49:48 UTC hello@padlet.com 20213 서희원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604058054 비례식에서 내항의 곱과 외항의 곱은 같으므로 x:y=3:1에서 
x=3y ......(1)
이 식을 일차방정식 5x+7y=66 ......(2) 와 연립하여 푼다. 
(1)에서 x=3y이므로 (2)의 x에 3y를 대입한다. 
5*3y+7y=66
15y+7y=66
22y=66
y=3
y=3을 (1)에 대입하면 x=9

답: x=9, y=3

<검산> 
9=3*3
5*9+7*3=45+21=66 

]]> 2021-06-14 02:26:20 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604058054 20207 김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604058101 5x+7y= 66
x=3y 
이렇게 2개의 식이 세워진다!!
"대입법"을 이용해 문제를 풀어보자.
x=3y를 5x+7y= 66에 대입하면
15y+7y= 66이 된다.
22y= 66
y=3이 되고
x=9가 된다.]]> 2021-06-14 02:26:22 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604058101 20231 차정원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604058219 x:y=1:3
x=3y

5x+7y=66
x=3y

15y+7y=66
22y=66
y=3
x=9

검산하기
9=3x3  o
5x9+7x3=66 o]]> 2021-06-14 02:26:26 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604058219 20214 송승현 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604058233 x:y=1:3
x=3y
5x+7y=66
x=3y
15y+7y=66
22y=66
y=3
x=9

검산하기
9=3x3  o
5x9+7x3=66 o]]> 2021-06-14 02:26:26 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604058233 20232 허준 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604058369 2021-06-14 02:26:31 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604058369 20227 이하은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604058405 x=3y
5x+7y=66에 대입
15y+7y=66
y=3 x=9]]> 2021-06-14 02:26:32 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604058405 20209박은빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604058549 x=3y

5x3y+7y=66
22y=66
y=3

x=3y
x=9

x=9 y=3


]]> 2021-06-14 02:26:37 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604058549 20211 사재연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604058984 x:y=3:1
 x=3y

5x+7y=66
x=3y 
대입법을 이용해 x에 3y를 대입하면

15y+7y=66
22y=66
y=3
x=3y에 y=3을 대입하면
x=3*3
x=9

따라서 x=9 y=3]]> 2021-06-14 02:26:52 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604058984 20222 이용환 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604060607 x=3y
5x+7y=66
15y+7y=66
22y=6
y=3
5x+21=66
5x=45
x=9
y=3 x=9]]> 2021-06-14 02:27:40 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604060607 20227이하은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604061254 x=3을2x+y=-2에 대입
6+y=-2
y=-8
x-y=7에(3,-8) 에 대입
3+8=11
답:11]]> 2021-06-14 02:28:03 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604061254 20219 윤해아 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604061302 x:y=3:1
내항과 외항을 각각 곱한다.
x=3y
 대입법
7y+5(3y)+66
계산하면 7y+15y=66
22y=66
y=3]]> 2021-06-14 02:28:05 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604061302 20221 이영은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604061639 2021-06-14 02:28:17 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604061639 20225이지호 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604061782 x=3y
(x=3y를 5x+7y=66에 대입)
15y+7y=66
y=3 x=9]]> 2021-06-14 02:28:22 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604061782 20218유태경 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604062967 2021-06-14 02:29:05 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604062967 20204 김서영 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604063838 2021-06-14 02:29:36 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604063838 20217 오의연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604064024 x=3y
5X3y+7y=66
22y=66
y=3

x=9 y=3]]> 2021-06-14 02:29:41 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604064024 2029 박은빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604064284 x=3을 2x+y=-2에 대입
2x3+y=-2
y=-8
y=-8과 x=3을 x-y=7에 대입
3+8=11

따라서 답은 11

]]> 2021-06-14 02:29:50 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604064284 20232 허준 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604064457 2021-06-14 02:29:57 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604064457 20213 서희원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604064718 2x+y=-2 ......(1)
x-y=7 ......(2)
x-y=7에서 7을 잘못 본 수를 a라 하고 식을 세우면 x-y=a
x=3을 대입
6+y=-2 -> y=-8
3-y=a
3-y=a -> y=-8을 대입 -> a=11

답: 11

]]> 2021-06-14 02:30:05 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604064718 20231 차정원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604064725 x-y=7에서 7을 a로 둘때

2x+y=-2
x-y=a

6+y=-2
y=-8
3+8=a
a=11]]> 2021-06-14 02:30:05 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604064725 20222 이용환 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604064845 x=3
6+y=-2
y=8

x-y=a대입
3-8=5
a=-5]]> 2021-06-14 02:30:09 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604064845 20221 이영은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604066017 2021-06-14 02:30:47 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604066017 20223 이 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604066192 2021-06-14 02:30:54 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604066192 20216양세연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604066324 x=3y
5x+7y=66에 대입
15y+7y=66
y=3 x=9]]> 2021-06-14 02:30:58 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604066324 20207김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604066536 2021-06-14 02:31:07 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604066536 20229 장서현 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604066793 x=3y
5x=7y=66에 x값 대입
15y+7y=66
y=3 x=9]]> 2021-06-14 02:31:16 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604066793 20219 윤해아 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604067059 2x+y=-2
x-y=7

7을 잘못봤다. 그래서 7을 a로 두겠습니당

2x+y=-2
x-y=a

아래 식에 2를 곱해준다..
(가감법)

 2x+y=-2
-(2x+2y=2a)

-y=]]> 2021-06-14 02:31:26 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604067059 20211 사재연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604067577 7을 잘못 본 수를 a라고 하면
2x+y=-2
x-y=a
이고 이 식에서 x=3이라는 결과를 얻었으니 대입하면
6+y=-2
3-y=a
두 식을 더하면
9=-2+a
a=11
11로 잘못 보고 풀었다]]> 2021-06-14 02:31:44 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604067577 20232 허준 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604067631 2021-06-14 02:31:46 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604067631 20225이지호 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604067835 x=3을2x+y=-2에 대입
6+y=-2
y=-8
x-y=7에(3,-8) 에 대입
3+8=11
답:11]]> 2021-06-14 02:31:54 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604067835 20226 이하늬 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604068187 x=3y
5x+7y=66에 넣고
15y+7y=66
y=3 x=9]]> 2021-06-14 02:32:06 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604068187 20231 차정원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604068938 y=3x
-x+y=10

-x+3x=10
2x=10
x=5  y=15

5a+15=-5
5a=-20
a=-4]]> 2021-06-14 02:32:32 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604068938 20224 이우주 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604069183 3y=x
5x+7y=66
5]]> 2021-06-14 02:32:40 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604069183 20206김재원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604069225 x=3y
5x+7y=66
15y+7y=66
y=3x=9]]> 2021-06-14 02:32:42 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604069225 20220 이소연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604069263 x=3y
5x+7y=66에 대입해서
15y+7y=66
y=3 x=9

]]> 2021-06-14 02:32:43 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604069263 20213 서희원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604070466 y가 x의 3배이므로 y=3x
-x+y=10의 y에 3x를 대입하면
-x+3x=10
2x=10
x=5
x=5를 y=3x에 대입하면 y=15
x=5, y=15를 ax+y=-5에 대입하면
5a+15=-5
a=-4

답: -4 

]]> 2021-06-14 02:33:27 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604070466 20232 허준 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604070854 2021-06-14 02:33:39 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604070854 20206김쟁 ㅝㄴ https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604071413 2021-06-14 02:33:58 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604071413 20206김재원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604071635 2021-06-14 02:34:05 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604071635 kimsay1116 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604071701 20208김효연 
X=3y
X=9
Y=3]]> 2021-06-14 02:34:07 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604071701 20206김재원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604071769 2021-06-14 02:34:10 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604071769 20207 김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604072178 -x+y= 10
y= 3x이렇게 방정식이 세워졌다.'
풀면 2x= 10
x=5
y=15가 된다.
이 놀라운 사실을 ax+y=-5에 대입하면
5a=-20이 되고
a= -4라는 놀라운 결과를 얻게된다!!]]> 2021-06-14 02:34:24 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604072178 20211 사재연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604072195 y값이 x의 3배 라는 것은
y=3x 로 나타낼 수 있고
주어진 연립방정식에 대입하면
ax+3x=-5
-x+3x=10
이다. 아래 식 부터 계산해 x를 구하면
2x=10
x=5
이다.
y=3x이므로 y=15이다
(5,15) 를 ax+y=-5에 대입해보면
5a+15=-5
5a=-20
a=-4]]> 2021-06-14 02:34:24 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604072195 kimsay1116 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604072772 20208김효연 
모르겠어요 ]]> 2021-06-14 02:34:44 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604072772 20210 박준성 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604072817 2021-06-14 02:34:45 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604072817 20231차정원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604072853 3x-7y=5
2x-6y=2
x=4  y=1

x-y=a
4-1=3
a=3]]> 2021-06-14 02:34:47 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604072853 20210 박준성 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604073504 2021-06-14 02:35:09 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604073504 20229 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604074223 x=3
6+y=-2
y=8
x-y=a대입
3-8=5
a=-5]]> 2021-06-14 02:35:31 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604074223 y=3x https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604074246 -x+3x=10
x=5
y=15
5a+15=-5
5a=-20
a=-4]]> 2021-06-14 02:35:32 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604074246 20204 김서영 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604074502 2021-06-14 02:35:40 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604074502 20214 송승현 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604074503 x-y=7에서 7을 a로 둘때

2x+y=-2
x-y=a

6+y=-2
y=-8
3+8=a
a=11]]> 2021-06-14 02:35:40 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604074503 20213 서희원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604074793 3x-7y=5 ......(1)
2x-6y=2 ......(2)
(1)의 양변에 2를 곱하면 
6x-14y=10 ......(3)
(2)의 양변에 3을 곱하면
6x-18y=6 ......(4) 
(3)에서 (4)를 변끼리 빼면 
4y=4
y=1
y=1을 (1)에 대입하면
3x-7=5
3x=12
x=4
x=4, y=1이므로 
a=x-y=4-1=3 
따라서 a=3 

답: 3 

]]> 2021-06-14 02:35:49 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604074793 20229 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604075157 y=3x
-x+y=10
-x+3x=10
2x=10
x=5  y=15
5a+15=-5
5a=-20


a=-4]]> 2021-06-14 02:35:59 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604075157 20214 송승현 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604075397 y=3x
-x+y=10

-x+3x=10
2x=10
x=5  y=15

5a+15=-5
5a=-20
a=-4]]> 2021-06-14 02:36:06 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604075397 20218유태경 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604076363 2021-06-14 02:36:34 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604076363 20214 송승현 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604076435 3x-7y=5
2x-6y=2
x=4  y=1

x-y=a
4-1=3
a=3]]> 2021-06-14 02:36:36 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604076435 20227 이하은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604076536 3x-7y=5  A
2x-6y=2  B
6x-14y=10  A
6x-18y=6  B
A-B=4y=4  y=1, x=4
4-1=3
a=3]]> 2021-06-14 02:36:39 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604076536 20229 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604076632 3x-7y=5
2x-6y=2
x=4  y=1
x-y=a
4-1=3


a=3]]> 2021-06-14 02:36:42 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604076632 20207 김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604078096 3x-7y= 5
2x-6y= 2
가감법으로 가가멜이 마시멜로가 될떄까지 푸러보면
6x-14y= 10..ㄱ
6x-18= 6......ㄴ
ㄱ-ㄴ을 하면
4y=4
y=1
x=4가 된다!
x-y=a= 4-1이 된다.
a=4인 것이다.]]> 2021-06-14 02:37:26 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604078096 20211 사재연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604078789 2021-06-14 02:37:48 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604078789 20221 이영은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604078898 2021-06-14 02:37:49 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604078898 20225이지호 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604079687 y=3x
-x+y=10

-x+3x=10
2x=10
x=5  y=15

5a+15=-5
5a=-20
a=-4]]> 2021-06-14 02:38:10 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604079687 20225이지호 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604080138 3x-7y=5
2x-6y=2
x=4  y=1

x-y=a
4-1=3

a=3]]> 2021-06-14 02:38:24 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604080138 20222 이용환 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604080812 6x-14y=10
6x-18y=6
4y=4
y=1 x=4
x-y=a
4-1=3
a=3]]> 2021-06-14 02:38:42 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604080812 20219 윤해아 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604083279 2021-06-14 02:39:56 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604083279 20218유태경 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604083377 4-1=3

답;3]]> 2021-06-14 02:39:59 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604083377 20210 박준성 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604085360 y=3x
-x+y=10
-x+3x=10
2x=10
x=5  y=15
5a+15=-5
5a=-20
a=-4]]> 2021-06-14 02:41:04 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604085360 20204 김서영 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604085458 2021-06-14 02:41:07 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604085458 20221 이영은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604086251 2021-06-14 02:41:33 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604086251 20210 박준성 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604088262 3x-7y=5
2x-6y=2
6x-14y=10
6x-18y=6
4y=4
y=1
x=4]]> 2021-06-14 02:42:36 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604088262 20222 이용환 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604090104 y=3x

-x+y=10
-x+3x=10

2x=10
x=5  y=15

5a+15=-5
5a=-20

a=-4]]> 2021-06-14 02:43:36 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604090104 20204 김서영 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604093665 2021-06-14 02:45:20 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1604093665 20211 사재연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606232255 3px + qy=7
-px+2qy=-7
의 해가 (1,1)이니까 대입하면 
3p+q=7        1
-p+2q=-7      2
2번식의 2q를 이항하면
-p = -2q-7
p = 2q+7
이 식을 3p+q=7
에 대입하면
6q+21+q=7
7q=-14
q=-2
p=3
3 + -2
=1]]> 2021-06-15 00:05:41 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606232255 20231 차정원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606232413 1.(1,1) 대입하기
3p+q=7
-p+2q=-7

p=3  q=-2
p+q=3-2=1
답:1]]> 2021-06-15 00:05:48 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606232413 20209박은빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606232617 y=3x
-x+y=10

-x+3x=10
x=5 

y=3x5
y=15

ax+y=-5
5a+15=-5
5a=-20
a=-4]]> 2021-06-15 00:05:58 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606232617 20232 허준 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606232827 2021-06-15 00:06:06 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606232827 20212 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606232917 2021-06-15 00:06:10 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606232917 20227 이하은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606233074 3p+q=7
-p+2q=-7
-3p+6q=-21
7q=-14
q=-2,p=3
답:1]]> 2021-06-15 00:06:15 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606233074 20213 서희원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606233087 3px+qy=7 ......(1)
-px+2qy=-7 ......(2)
해가 (1,1) -> x=1, y=1 
(1)과 (2)에 x=1, y=1을 대입하면
3p+q=7 ......(3)
-p+2q=-7 .......(4) 
(4)의 양변에 3을 곱하면
-3p+6q=-21 .......(5)
(3)과 (5)를 변끼리 더하면
7q=-14
q=-2
q=-2를 (3)에 대입하면
3p-2=7
3p=9
p=3
따라서 p=3, q=-2이므로 
p+q=3+(-2)=3-2=1 

답: 1 

]]> 2021-06-15 00:06:16 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606233087 20222 이용환 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606233462 x=1, y=1
3p+q=7
-p+2q=7
3p+q=7
-3p+6q=-21
7q=-14
q=2 p=-2
답:1]]> 2021-06-15 00:06:31 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606233462 20221 이영은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606233830 2021-06-15 00:06:47 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606233830 20214 송승현 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606236751 3p+q=7
-p+2q=-7
-3p+6q=-21
7q=-14
q=-2,p=3

답:1]]> 2021-06-15 00:08:51 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606236751 20218유태경 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606238372 2021-06-15 00:09:54 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606238372 20213 서희원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606242422 x-y=a ......(1)
4x-3y=10 ......(2)
y의 값이 x의 3배 -> y=3x
3x를 (2)의 y에 대입하면
4x-9x=10
-5x=10
x=-2
y=3x이므로 y=-6
x=-2, y=-6을  (1)에 대입하면
-2-(-6)=a
4=a
따라서 a=4 

답: 4 

]]> 2021-06-15 00:12:17 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606242422 20222 이용환 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606242519 y=3x
4x-3y=10
4x-9x=10
x=-2, y=-6
x-y=4
a=4

]]> 2021-06-15 00:12:21 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606242519 20217 오의연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606242718 x=3
6+y=-2
y=-2-6
y=-8
x+y=a
3+8=a=11
a=11]]> 2021-06-15 00:12:28 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606242718 20232 허준 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606242946 2021-06-15 00:12:36 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606242946 20221 이영은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606242974 2021-06-15 00:12:37 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606242974 20204 김서영 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606243354 2021-06-15 00:12:49 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606243354 20231 차정원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606243571 y=3x
4x-3y=10

y=3x를 대입하기
4x-9x=10
-5x=10
x=-2   y=-6

x-y=a
-2-(-6)=a
-2+6=a
a=4]]> 2021-06-15 00:12:57 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606243571 20211 사재연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606243780 y의 값이 x의 3배이면 y=3x이고
x-y=a              1
4x-3y=10       2
y=3x를 대입하면
x-3x=a
4x-9x=10

-2x=a
-5x=10

-5x=10을 계산하면
-x=2
x=-2

대입하여 a를 구하기
-2*-2=a
4=a
a=4]]> 2021-06-15 00:13:04 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606243780 20227이하은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606243951 y=3x
4x-3y=10
4x-9x=10
x=-2, y=-6
x-y=4
a=4]]> 2021-06-15 00:13:11 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606243951 20216 양세연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606244464 x=3y
5x+7y=66

15y+7y=66
22y=6
y=3
5x+21=66
5x=45


x=9
y=3 x=9]]> 2021-06-15 00:13:30 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606244464 20214 송승현 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606246697 y=3x
4x-3y=10
4x-9x=10
x=-2, y=-6
x-y=4
a=4]]> 2021-06-15 00:14:53 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606246697 20207 김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606247261 3p+q=7.....ㄱ
-p+2q=-7...ㄴ
ㄱ+3ㄴ
7q= -14
q=-2
p=3
3+(-2)= 1
따라서 답은 1이다!!]]> 2021-06-15 00:15:12 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606247261 20229 장서현 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606247278 3p+q=7
-p+2q=7
-3p+6q=21
7q=-14
q=-2 p=3
p+q
=-2+3
=1

답1]]> 2021-06-15 00:15:13 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606247278 20216 양세연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606247548 x=3
6+y=-2
y=8

x-y=a 대입
3-8=5
a=-5]]> 2021-06-15 00:15:22 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606247548 20225이지호 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606249614 3p+q=7
-p+2q=-7
-3p+6q=-21
7q=-14
q=-2,p=3
답:1]]> 2021-06-15 00:16:35 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606249614 20218유태경 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606250129 2021-06-15 00:16:51 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606250129 20217 오의연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606250692 y=3x
-x+y=10
-x+3x=10
2x=10
x=5
y=15
ax+y=-5
5a+15=-5
5a=-5-15
5a=-20
a=-4



]]> 2021-06-15 00:16:59 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606250692 20225이지호 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606251356 y=3x
4x-3y=10
4x-9x=10
x=-2, y=-6
x-y=4
a=4]]> 2021-06-15 00:17:22 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606251356 kimsay1116 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606251364 20208김효연 
2x+ y = -2
x - y = a
6 + y = -2
3 - y= a 
9= -2 + a
a = 11]]> 2021-06-15 00:17:22 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606251364 20204 김서영 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606251439 2021-06-15 00:17:25 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606251439 20216 양세연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606252454 y=3x

-x+3x=10
x=5
y=15
5a+15=-5
5a=-20
a=-4
]]> 2021-06-15 00:18:01 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606252454 20209 박은빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606252874 3x-7y=5
x-3y=1

x=1+3y를 3x-7y=5에 대입
3(1+3y)-7y=5
3+9y-7y=5
2y=2
y=1

x=1+3
x=4

x-y=a
4-1=3

따라서 a=3

]]> 2021-06-15 00:18:17 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606252874 20207 김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606254850 4x-3y=10
y=3x
4x-9x=10
-5x=10
x=-2
y=-6
(-2)-(-6)= 4
답은 4이다]]> 2021-06-15 00:19:32 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606254850 20216 양세연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606255196 3x-7y=5


2x-6y=2
6x-14y=10
6x-18y=6
4y=4

y=1
x=4]]> 2021-06-15 00:19:43 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606255196 20210 박준성 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606255341 x=1, y=1
3p+q=7
-p+2q=7
3p+q=7
-3p+6q=-21
7q=-14
q=-2 p=3
답:1]]> 2021-06-15 00:19:48 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606255341 20217오의연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606260396 3x-7y=5
2x-6y=2

   | 6x-14y=10
-  |(6x-18y=6)
   |__________
        4y=4
y=1

2x-6=2
2x=2+6
2x=8
x=4

x-y=a
4-1=3

a=3

]]> 2021-06-15 00:22:29 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606260396 20216 양세연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606260846 y=3x

4x-3y=10

4x-9x=10


x=-2, y=-6
x-y=4
a=4]]> 2021-06-15 00:22:47 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606260846 20228 이해연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606260945 x=3y 를
5x-7y=66에 있는 x값에 대입
15y+7y=66
따라서 y=3 x=9]]> 2021-06-15 00:22:51 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606260945 20208김효연 kimsay1116 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606260952 3x - 7 y = 5
2 x - 6 y = 2
6x - 14 y = 10 
6 x - 18 y = 6
4 y = 4
y = 1
x = 4
a = 3]]> 2021-06-15 00:22:51 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606260952 20206김재원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606261639 y=3x
-x+3x=10
x=5
y=15
5a+15=5
5a=20
a=4

]]> 2021-06-15 00:23:13 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606261639 20210 박준성 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606263436 2021-06-15 00:24:14 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606263436 20232 허준 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606263999 2021-06-15 00:24:34 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606263999 20221 이영은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606264011 2021-06-15 00:24:34 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606264011 20206김재원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606264191 2021-06-15 00:24:41 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606264191 20231 차정원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606264203 8x+4(3x-a)=a
20x=5a
a=4x

y=3x-4x
y=-x
b=-2
a=4x2=8

a-b=8-(-2)
=10
답:10]]> 2021-06-15 00:24:41 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606264203 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606264546 교과서 99쪽 문제 5번         연립방정식 y=3x-a               .                    8x+4y=a     의 해가 (2,b)일 때 a-b의 값을 구하시오]]> 2021-06-15 00:24:54 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606264546 20222 이용환 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606264583 y=3x-a
8x+4y=a

8x+4(3x-a)=a
20x=5a
a=4x

y=3x-4x
y=-x
b=-2
a=8
a-b=10]]> 2021-06-15 00:24:56 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606264583 20225이지호 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606264611 y=3x-a
8x+4y=a

y=3x-a                1
8x+4y=a             2

1번을 대입

16+24-4a=a
40=5a

a=8

b=6-a

b=6-8

b=-2

8-(-2)=10

답=10
 



]]> 2021-06-15 00:24:57 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606264611 20211 사재연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606264753 (2,b)를 대입
b=6-a            1
16+4b=a      2
1번 식을 대입하면
16+24-4a=a
40=5a
a=8

b=6-a에 대입
b=6-8
b=-2
따라서 a-b   =  8-(-2)   = 8+2    = 10

10]]> 2021-06-15 00:25:02 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606264753 20213 서희원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606265703 y=3x-a ......(1)
8x+4y=a .......(2)
(1)과 (2)를 변끼리 더하면 
8x+5y=3x
5x+5y=0
x+y=0 .......(3)
(3)에 (2, b)를 대입하면
2+b=0 
b=-2 
b는 y의 해이므로 x=2, y=-2를 (1)에 대입하면 
-2=6-a
a=8 
따라서 a=8, b=-2이므로 a-b=8-(-2)=8+2=10 

답: 10 


]]> 2021-06-15 00:25:33 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606265703 20209 박은빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606266214 x=1 y=1

3p+q=7...ㄱ
-p+2q=-7...ㄴ

ㄱ+3ㄴ
7q=-14
q=-2 p=3

q+p=-2+3=1

답;1


]]> 2021-06-15 00:25:41 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606266214 20228 이해연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606267593 x=3
6+y=-2
따라서 y=-8

x-y=a 에 대입하면
3+8=a
따라서 a=11 

]]> 2021-06-15 00:26:24 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606267593 20204 김서영 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606268536 2021-06-15 00:26:53 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606268536 20229 장서현 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606268614 y=3x
4x-3y=10
4x-9x=10
x=-2 y=-6
x-y=4

a=4]]> 2021-06-15 00:26:56 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606268614 20219 윤해아 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606271273 3x-7y=5 
2x-6y=2

식 1에는 2를 곱하고 식2에는 3을 곱한다.

     6x-14y=10
-  ) 6x-18y=6

4y=16
y=4
x=1
4-1=3
a=3]]> 2021-06-15 00:28:22 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606271273 20214 송승현 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606272881 8x+4(3x-a)=a
20x=5a
a=4x

y=3x-4x
y=-x
b=-2
a=4x2=8

a-b=8-(-2)
=10
답:10]]> 2021-06-15 00:29:12 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606272881 20217 오의연ㄴ https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606273480 3p+q=7
-p+2q=7
-3p+6q=21
7q=-14
q=-2 p=3
p+q=-2+3
=1

]]> 2021-06-15 00:29:31 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606273480 20228 이해연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606274990 y=3x 
따라서 대입하면
-x+3x=10
x=5
y=15

5a+15=-5 이므로
5a=-20
따라서 a=-4]]> 2021-06-15 00:30:14 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606274990 20218유태경 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606277693 2021-06-15 00:31:42 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606277693 20228 이해연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606278774 3x-7y=5
2x-6y=2
x=4 / y=1

x-y=a는
4-1=3 이므로
a=3]]> 2021-06-15 00:32:17 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606278774 20219 윤해아 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606280102 3p+q=7
-p+2q=-7
두 번째 식에 3을 곱한다.

      3p+q=7
 + )-3p+6q=-21

7q=-14
q=-2
p=3
-2+3=1]]> 2021-06-15 00:33:01 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606280102 20209박은빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606280513 2021-06-15 00:33:14 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606280513 20210 박준성 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606280948 b=6-a
16+12x-4a=a
16+12x=5a
16+24-4a=a
-5a=-40
a=8
b=-2
답 10

]]> 2021-06-15 00:33:29 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606280948 20228 이해연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606281416 y=3x
4x-3y=10
4x-9x=10 으로 대입하면
x=-2 / y=-6
x-y=4 이므로 
a=4]]> 2021-06-15 00:33:44 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606281416 20211 사재연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606281564 1번 식의 -3y에 3y=x-2를 대입하면
4x-(x-2)=17
4x-x+2=17
3x=15
따라서 a=15]]> 2021-06-15 00:33:49 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606281564 20232 허준 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606281618 2021-06-15 00:33:52 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606281618 20213 서희원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606281698 x-2를 (1)의 3y에 대입하면
4x-(x-2)=17
3x=15 
3x=a 
따라서 a=15 

답: 15 

]]> 2021-06-15 00:33:55 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606281698 20231 차정원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606282995 (2)를 (1)에 대입하기
4x-x+2=17
3x=15
x=5
3x=a
3x5=a
a=15]]> 2021-06-15 00:34:37 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606282995 20225이지호 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606283092 x-2를 1의 3y의 자리에 대입

4x-(x-2)=17

4x-x+2=17

3x=15

a=15]]> 2021-06-15 00:34:40 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606283092 kimsay1116 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606283985 20208김효연 
1 ]]> 2021-06-15 00:35:09 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606283985 20228 이해연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606284263 y=6-a  (2,b 에서 2를 x값에 곱해서)
a=16+24-4a
a=40-4a
5a=40
a=8

b=6-8 이므로
b= -2

8-(-2)=10
(8+2=10)

]]> 2021-06-15 00:35:18 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606284263 20221 이영은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606284472 2021-06-15 00:35:26 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606284472 20218유태경 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606284676 2021-06-15 00:35:33 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606284676 20217 오의연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606285227 y=3x

4x-3y=10
 4x-9x=10

x=-2 y=-6
a=4




]]> 2021-06-15 00:35:51 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606285227 20214 송승현 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606287671 x-2를 (1)의 3y에 대입하면
4x-(x-2)=17
3x=15 
3x=a 
따라서 a=15 

답: 15 ]]> 2021-06-15 00:37:08 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606287671 20229 장서현 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606287791 (2)를 (1)에 대입하기

4x-x+2=17
3x=15
x=5
3x=a
3x5=a


a=15]]> 2021-06-15 00:37:12 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606287791 20212 서동완 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606287879 y=3x
4x-3y=10
y=3x를 대입한다
4x-9x=10
-5x=10
x=-2   y=-6
x-y=a
-2-(-6)=a
-2+6=a
a=4]]> 2021-06-15 00:37:15 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606287879 20222 이용환 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606288011 (2)를 (1) 에 대입하기
4x-x+2=17
3x=15
a=15]]> 2021-06-15 00:37:20 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606288011 20206김재원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606288123 2021-06-15 00:37:23 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606288123 20227 이하은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606288185 b=6-a
16+4b=a
16+24-4a=a
a=8,b=-2
담
;10]]> 2021-06-15 00:37:25 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606288185 kimsay1116 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606289191 20208김효연 
y = 3 x
4 x - 3 x 3 x = 10 
x = -2
y = 3 x -2 = - 6
-2 +6 = 4
a = 4]]> 2021-06-15 00:37:58 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606289191 20209박은빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606289801 2021-06-15 00:38:17 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606289801 20202 권유진 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606289835  x= 3y 
5x+7y=66에 x를 대입한다
15y+7y=66
y=3 x=9]]> 2021-06-15 00:38:18 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606289835 20220이소연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606290146 해가 (1,1)이니까 대입하면
3p+q=7 
-p+2q=-7
 
q=7-3p
-p+14-6p=-7

p=3
q=-2
3-2=1

]]> 2021-06-15 00:38:26 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606290146 20230조성빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606292578 x=3y

5x3y+7y=66
22y=66
y=3

x=3y
x=9

x=9 y=3
히히\

]]> 2021-06-15 00:39:46 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606292578 20216 양세연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606292655 x=3
6+y=-2
 y=-8

x-y=a 에 대입하면
3+8=a


 a=11 































]]> 2021-06-15 00:39:48 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606292655 20204 김서영 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606292657 2021-06-15 00:39:48 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606292657 2 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606293825 2021-06-15 00:40:22 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606293825 20218유태경 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606294052 x=3
6+y=-2
y=-8

x-y=a
3+8=11
a=11]]> 2021-06-15 00:40:29 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606294052 20207 김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606294344 a+b=6
4b-a=-16
5b= ]]> 2021-06-15 00:40:40 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606294344 20228 이해연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606294348 (1)번 식의 -3y에 (2)번식을 대입
4x-(x-2)=17
4x-x+2=17
3x=15
따라서 a=15]]> 2021-06-15 00:40:40 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606294348 20227 이하은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606294599 4x-x+2=17
3x=15
a=15]]> 2021-06-15 00:40:48 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606294599 20209 박은빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606295337 2021-06-15 00:41:07 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606295337 20216 양세연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606296261 y=3x
-x+3x=10
x=5
y=15
5a+15=5
5a=20
a=4

]]> 2021-06-15 00:41:31 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606296261 20219 윤해아 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606297917 y=3x
4x-3(3x)=10
4x-9x=10
-5x=10
x=-2
y=-6

-2+6=a

a=4]]> 2021-06-15 00:42:24 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606297917 20202 권유진 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606299349 x=3을 2x+y=-2에 대입
2곱하기3+y=-2
y=-8
y=-8 , x=3을 x-y=7 에 대입
3+8=11
답= 11]]> 2021-06-15 00:43:10 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606299349 20216 양세연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606301094 3x-7y=5
2x-6y=2
6x-14y=10
6x-18y=6
4y=4

y=1
x=4]]> 2021-06-15 00:44:03 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606301094 20217 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606301255 y=3x-a
8x+4y=a

b=6-a]]> 2021-06-15 00:44:08 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606301255 kimsay1116 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606301585 20208김효연 
4 ( - 3 x = - y - a )
8x = - 4 y + a
- 12 x = - 4 y - 4 a
- 4 x = - 3 a
10]]> 2021-06-15 00:44:20 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606301585 kimsay1116 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606302776 20208김효연 
15]]> 2021-06-15 00:44:56 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606302776 20216 양세연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606302804 4x-x+2=17
3x=15
a=15]]> 2021-06-15 00:44:57 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606302804 20207 김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606302861 2021-06-15 00:44:59 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606302861 20230조성빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606303581 x=3을2x+y=-2에 대입
6+y=-2
y=-8
x-y=7에(3,-8) 에 대입
3+8=11
답:11
휴

]]> 2021-06-15 00:45:21 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606303581 20219 윤해아 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606305943 2021-06-15 00:46:31 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606305943 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606311973 20201 강성민


]]> 2021-06-15 00:49:33 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606311973 yuna7933 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606423289 2021-06-15 01:46:01 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1606423289 yuna7933 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611129355 2021-06-17 01:02:13 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611129355 yuna7933 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611132145 2021-06-17 01:03:42 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611132145 20213 서희원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611136728 ax+y=14와 x+3by=13에 x=1, y=4를 대입하면
a+4=14 ......(1)
1+12b=13 ......(2)
(1)에서 a=14-4=10
(2)에서 12b=12 -> b=1
a+b=10+1=11

답: 11 

]]> 2021-06-17 01:06:08 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611136728 20213 서희원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611137000 2x+7y=34 .....(1)
x-3y=-9 ......(2)
(2)에서 x=3y+9
x=3y+9를 (1)에 대입하면
2(3y-9)+7y=34
13y=52
y=4
y=4를 (2)에 대입하면
2x+28=34
2x=6
x=3
x=3, y=4를 ax+by=-2, 6x+ay=10 에 대입
3a+4b=-2 ......(3)
18+4a=10 ......(4)
(4)에서 4a=-8 -> a=-2
a=-2를 (3)에 대입하면 
-6+4b=-2
4b=4
b=1
ab=-2*1=-2

답: -2 



]]> 2021-06-17 01:06:17 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611137000 20232 허준 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611137222 2021-06-17 01:06:25 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611137222 20209박은빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611137524 x=1 y=4 를 식에 대입
a+4=14 
a=10

1+12b=13
b=1

a+b=10+1=11]]> 2021-06-17 01:06:35 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611137524 20225이지호 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611138104 ax+y=14
x+3by=13의 x와y의 자리에 x와y의 해를 대입

(a×1)+4=14
1+(3×b×4)=13

a+4=14         a=10
1+12b=13            b=1

a+b=11]]> 2021-06-17 01:06:55 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611138104 20222 이용환 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611138287 x=1 y=4
a+4=14
a=10
1+3b4=13
1+12b=13
b=1
10+1=11]]> 2021-06-17 01:07:01 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611138287 20219 윤해아 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611138586 2021-06-17 01:07:10 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611138586 20217 오의연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611138638 y=3x-a
8x+4y=a

8x+4(3x-a)=a
8x+12x-4a=a
16+24-4a=a
-5a=-40
a=8

16+4y=8
4y=-8
y=-2

a-b=8-(-2)
=10]]> 2021-06-17 01:07:11 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611138638 yuna7933 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611139305 2021-06-17 01:07:33 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611139305 20231 차정원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611139605 (1,4 )대입하기
a+4=14
a=10
1+12b=13
12b=12
b=1

a+b=10+1
=11]]> 2021-06-17 01:07:42 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611139605 20232 허준 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611139607 2021-06-17 01:07:42 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611139607 20214 송승현 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611140308 2x-y=-2
-8x+3y=6

x=0 y=2]]> 2021-06-17 01:08:04 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611140308 20211 사재연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611140725 두 식에 (1,4)를 대입하면
a+4=14
a=10
1+12b=13
b=1

11]]> 2021-06-17 01:08:17 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611140725 20209 박은빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611141528 2x+7y=34
x=3y-9
y=4 x=3를 식에 대입

3a+4b=-2
18+4a=10
a=-2 b=1
axb=-2x1=-2

따라서 답은 -2이다.]]> 2021-06-17 01:08:40 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611141528 yuna7933 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611141742 2021-06-17 01:08:47 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611141742 20221 이영은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611142748 2021-06-17 01:09:19 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611142748 yuna7933 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611143311 2021-06-17 01:09:37 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611143311 20204 김서영 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611143741 2021-06-17 01:09:51 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611143741 20229 장서현 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611143817 2021-06-17 01:09:53 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611143817 20218유태경 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611143967 2021-06-17 01:09:58 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611143967 20232 허준 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611144456 2021-06-17 01:10:15 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611144456 20211 사재연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611144788 2x+7y=34
x-3y=9

(3,4)

18+4a=10
4a=-8
a=-2

-6+4b=-2
4b=4
b=1
ab=-2]]> 2021-06-17 01:10:26 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611144788 20222 이용환 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611144964 2x+7y=34
2x-6y=-18
13y=52
y=4, x=3
18+4a=10
a=-2
-6+4b=-2
b=1
1×-2=-2]]> 2021-06-17 01:10:32 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611144964 20231 차정원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611146113 2x+7y=34
x-3y=-9
x=3 y=4

18+4a=10
4a=-8
a=-2

-6+4b=-2
4b=4
b=1
ab=-2x1=-2]]> 2021-06-17 01:11:07 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611146113 20229 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611147826 ab=-2]]> 2021-06-17 01:11:56 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611147826 20221 이영은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611148055 아래 나온 엑스와 와이의 값을 대입하면 에이는 -2 비는 1이 나오는데 ab를 하면 
= -2]]> 2021-06-17 01:12:03 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611148055 20219 윤해아 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611148548 2021-06-17 01:12:18 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611148548 20232 허준 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611148737 2021-06-17 01:12:23 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611148737 20209박은빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611150066 2x+2-y=0
x-6=9x-3y

2x-y=-2
8x-3y=-6

y=2 x=0]]> 2021-06-17 01:13:02 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611150066 20206김재원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611151407 2021-06-17 01:13:43 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611151407 20214 송승현 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611151596 -x-y=3x+y+2
-x-y=4x+2y+1

-4x-2y=2
-5x-3y=1

-20x-10y=10
-20x-12y=4

2y=6

y=3
x=-2]]> 2021-06-17 01:13:48 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611151596 20225이지호 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611151748 ax+by=-2                 x-3y=-9
2x+7y=34                6x+ay=10

2x+7y=34에 x=3y-9를 대입
2(3y-9)+7y=34
13y=52
y=4
x-3y=-9에 y의 해를 대입
x-12=-9
x=3
x=3,y=4를
ax+by=-2, 6x+ay=10 에 대입
3a+4b=-2
18+4a=10

3a+4b=-2
4a=-8

a=-2 b=1
ab=-2×1=-2

답:-2


 ]]> 2021-06-17 01:13:53 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611151748 20213 서희원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611151879 2x+2-y=0 ......(1) 
x-6=9x-3y
8x-3y=-6 .......(2) 
(1)에서 y= 2x+2 
y=2x+2를 (2)에 대입하면
8x-3(2x+2)=-6
8x-6x-6=-6
2x=0
x=0
x=0을 (1)에 대입하면
0+2-y=0
y=2

답: x=0, y=2 

]]> 2021-06-17 01:13:58 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611151879 20231 차정원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611152288 2x-y=-2
-8x+3y=6
2x-y=-2의 각항에 4을 곱해 계산한다
x=0 y=2]]> 2021-06-17 01:14:10 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611152288 20211 사재연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611153058 2x+2-y=0
x-6=9x-3y

6x-3y=-6
-8x+3y=6
-2x=0
x=0
y= 2]]> 2021-06-17 01:14:31 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611153058 20222 이용환 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611154670 2x+2-y=0
x-6=9x-3y

2x+2-y=0
-8x+y=+6

8x-4y=8
-8x+y=+6

x=0
y=2]]> 2021-06-17 01:15:21 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611154670 20232 허준 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611154851 2021-06-17 01:15:27 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611154851 20204김서영 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611156725 2021-06-17 01:16:29 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611156725 20231 차정원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611156956 0.05x-0.1y=0.2의 각 항에 100을 곱해준다.
5x-10y=20
x-2y=4

x-2/3=y+1/2에 6을 곱해준다
2x-4=3y+3
2x-3y=7

x-2y=4
2x-3y=7

x=2 y=-1

]]> 2021-06-17 01:16:37 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611156956 20209 박은빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611157132 2021-06-17 01:16:42 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611157132 20217 오의연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611157259 4x-3y=17
3y=x-2

4x-(x-2)=17
4x-x+2=17
3x=15
a=15]]> 2021-06-17 01:16:47 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611157259 20213 서희원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611158297 0.05x-0.1y=0.2의 각 항에 100을 곱하면 
5x-10y=20 ......(1)
두 번째 식의 각 항에 6을 곱하면
2x-4=3y+3
2x-3y=7 ......(2) 
(1)의 각 항에 2를 곱하면 
10x-20y=40 ......(3)
(2)의 각 항에 5를 곱하면
10x-15y=35 .......(4) 
(4)에서 (3)을 변끼리 빼면
5y=-5
y=-1
y=-1을 (1)에 대입하면
5x+10=20
5x=10
x=2

답: x=2, y=-1 

]]> 2021-06-17 01:17:23 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611158297 20218유태경 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611158368 2021-06-17 01:17:25 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611158368 20211 사재연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611160469 100을 곱하면
5x-10y-20
(분모의최소공배수)6곱하면
2x-4=3y+3

10x-20y=40
10x-15y=35
-5y=5
y=-1
x=2]]> 2021-06-17 01:18:31 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611160469 20210 박준성 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611161360 x=1 y=4 
a+4=14
1+12b=13
b=1
a=10
답11]]> 2021-06-17 01:18:58 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611161360 20204 김서영 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611161573 2021-06-17 01:19:04 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611161573 20216 양세연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611164809 a+4=14 
1+12b=13
a=10 b=1
10+1=11]]> 2021-06-17 01:20:43 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611164809 20218유태경 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611164949 2021-06-17 01:20:48 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611164949 20231 차정원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611165119 -x-y=4x+2y+1
-5x-3y=1

3x+y+2=4x+2y+1
-x-y=-1
x+y=1

-5x-3y=1
x+y=1

x=-2 y=3]]> 2021-06-17 01:20:53 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611165119 20207 김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611165553 2021-06-17 01:21:05 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611165553 20229 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611165804 2021-06-17 01:21:12 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611165804 20207 김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611165829 2021-06-17 01:21:13 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611165829 20204 김서영 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611165948 2021-06-17 01:21:17 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611165948 20230조성빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611165978 x=1 y=4 
a+4=14
1+12b=13
b=1
a=10
답 11]]> 2021-06-17 01:21:18 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611165978 20214 송승현 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611166011 5x-10y=20
x-2y=4


2x-4=3y+3
2x-3y=7

x-2y=4
2x-3y=7

x=2 y=-1]]> 2021-06-17 01:21:19 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611166011 20207 김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611166020 2021-06-17 01:21:19 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611166020 20207 김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611166610 2021-06-17 01:21:30 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611166610 20207 김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611167063 2021-06-17 01:21:44 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611167063 20207 김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611167249 2021-06-17 01:21:50 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611167249 20210 박준성 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611167365 2x+7y=34
2x-6y=-18
13y=52
y=4, x=3
4a+18=10
4a=-8
a=-2
b=1
답-2]]> 2021-06-17 01:21:54 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611167365 20207 김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611167427 2021-06-17 01:21:56 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611167427 20217 오의연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611167508 -x-y=3x+y+2
-x-y=4x+2y+1

-4x-2y=2
-5x-3y=1

-20x-10y=10
-20x-12y=4

2y=6
y=3

-5x-9=1
-5x=10
x=-2

]]> 2021-06-17 01:21:59 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611167508 20207 김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611167810 하하하하하하하하하핳]]> 2021-06-17 01:22:08 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611167810 20230조성빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611167817 2x+7y=34
x=3y-9
y=4 x=3
3a+4b=-2
18+4a=10
a=-2 b=1
axb=-2x1=-2]]> 2021-06-17 01:22:08 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611167817 20221 이영은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611168195 2021-06-17 01:22:19 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611168195 20214 송승현 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611168244 2x+7y=34
x-3y=-9
x=3 y=4

18+4a=10
4a=-8
a=-2

-6+4b=-2
4b=4
b=1
ab=-2x1=-2]]> 2021-06-17 01:22:21 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611168244 20222 이용환 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611168280 5x-10y=20
2x-4=3y+3

5x-10y=20
2x-3y=7

10x-20y=40
-10x+15y=-35

-5y=5
y=-1
x=2]]> 2021-06-17 01:22:22 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611168280 20209 박은빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611168357 2021-06-17 01:22:25 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611168357 20207 김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611168753 2021-06-17 01:22:37 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611168753 20207 김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611168956 2021-06-17 01:22:43 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611168956 20207 김환희 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611169116 2021-06-17 01:22:48 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611169116 20213 서희원 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611169971 -x-y=3x+y+2 .......(1)
-x-y=4x+2y+1 ......(2)
(1)과 (2)를 각각 문자는 좌변으로 상수항은 우변으로 이항시켜 정리하면 
-4x-2y=2 ........(3)
-5x-3y=1 .......(4)
(3)의 각 항에 5를 곱하면 
-20x-10y=10 ......(5)
(4)의 각 항에 4를 곱하면
-20x-12y=4 .......(6)
(5)에서 (6)을 변끼리 빼면 
2y=6
y=3
y=3을 (1)에 대입하면
-4x-6=2
-4x=8
x=-2

답: x=-2, y=3 

]]> 2021-06-17 01:23:10 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611169971 20204 김서영 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611169997 2021-06-17 01:23:11 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611169997 20230조성빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611170410 2x+2-y=0
x-6=9x-3y
2x-y=-2
8x-3y=-6
y=2 x=0]]> 2021-06-17 01:23:25 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611170410 20208김효연 kimsay1116 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611170604 a+4=14
1+12b=13
답 11]]> 2021-06-17 01:23:31 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611170604 20216 양세연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611170847 2x+7y=34
2x-6y=-18
13y=52
y=4, x=3
4a+18=
(a=-2)
-6+4b=-2
(b=1)
1×-2=-2]]> 2021-06-17 01:23:39 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611170847 20230조성빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611171135 5x-10y=20
x-2y=4
2x-4=3y+3
2x-3y=7
y=4
2x-3y=7
x=2 y-1]]> 2021-06-17 01:23:49 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611171135 20211 사재연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611173245 3x+y+2=-x-y
4x+2y+1=-x-y

-4x-2y=+2
-5x-3y=+1

x=-2
y=3]]> 2021-06-17 01:24:54 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611173245 20219 윤해아 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611173896 2021-06-17 01:25:08 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611173896 20208김효연 kimsay1116 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611175029 a=2
b=7]]> 2021-06-17 01:25:33 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611175029 20221 이영은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611175095 2021-06-17 01:25:35 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611175095 20222 이용환 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611176192 -x-y=3x+y+2
-x-y=4x+2y+1

-4x-2y=+2
-5x-3y=+1

-12x-6y=6
+10x+6y=-2

-2x=4
x=-2
y=3]]> 2021-06-17 01:26:05 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611176192 20216 양세연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611176251 2x+2-y=0
x-6=9x-3y
2x-y=-2
8x-3y=-6

y=2 x=0]]> 2021-06-17 01:26:06 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611176251 20229 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611176648 2021-06-17 01:26:18 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611176648 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611177129 20218유태경]]> 2021-06-17 01:26:33 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611177129 클릭하면 들어 갈 수 있어요 yuna7933 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611177305 2021-06-17 01:26:38 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611177305 20230조성빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611178167 -x-y=4x+2y+1
-5x-3y=1
3x+y+2=4x+2y+1
-x-y=-1
x+y=1
-5x-3y=1
x+y=1
x=-2 y=3]]> 2021-06-17 01:27:03 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611178167 20221 이영은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611179036 2021-06-17 01:27:28 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611179036 20216 양세연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611179352 5x-10y=20
x-2y=4
2x-4=3y+3
2x-3y=7
y=4
2x-3y=7
x=2 y-1]]> 2021-06-17 01:27:38 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611179352 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611182140 20218유태경]]> 2021-06-17 01:29:02 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611182140 20208김효연 kimsay1116 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611184674 2x+2-y=0
x-6=9x-9y
2x-y=-2
-8x+9y=6
8x-4y=-8
5y=14
답 x=0,y=2]]> 2021-06-17 01:30:15 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611184674 20230조성빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611185208 2x+y=-2
x-y=a

6+y=-2
y=-8
3+8=a
a=11]]> 2021-06-17 01:30:28 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611185208 20230조성빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611185818 y=3x
-x+y=10
-x+3x=10
2x=10
x=5  y=15
5a+15=-5
5a=-20
a=-4]]> 2021-06-17 01:30:47 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611185818 20219 윤해아 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611186638 2021-06-17 01:31:12 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611186638 20230조성빈 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611188788 3x-7y=5
2x-6y=2
6x-14y=10
6x-18y=6
4y=4
y=1
x=4]]> 2021-06-17 01:32:15 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611188788 20216 양세연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611189756 x=3
6+y=-2
y=8

x-y=a대입
3-8=5
a=-5]]> 2021-06-17 01:32:43 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611189756 20217 오의연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611189940 x=1 y=4
a+4=14
a=10

1+12b=13
b=1

a+b=10+1=11]]> 2021-06-17 01:32:50 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611189940 20216 양세연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611190764 2021-06-17 01:33:17 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611190764 20227 이하은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611202103 x=1 y=4 를 대입
a+4=14 
a=10
1+12b=13
b=1
a+b=11]]> 2021-06-17 01:38:48 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611202103 20227 이하은 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611203823 2x+7y=34
x=3y-9
y=4 , x=3대입
3a+4b=-2
18+4a=10
a=-2 b=1
axb=-2
답:-2]]> 2021-06-17 01:39:31 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611203823 20216 양세연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611210961 y=3x-a
8x+4y=a
8x+4(3x-a)=a
8x+12x-4a=a
16+24-4a=a
-5a=-40
a=8

16+4y=8
4y=-8
y=-2
a-b=8-(-2)
=10

]]> 2021-06-17 01:42:55 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611210961 20216 양세연 https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611220209 4x-3y=17
x=3y=-2
-24+4b=-4a
16+4b=a
-40=-5a
a=8]]> 2021-06-17 01:47:40 UTC https://padlet.com/yuna7933/m76bzw3gcd2kkfcb/wish/1611220209