https://padlet.com/adelineho/tph3 Likitha Aradhyula, Adeline Ho, Kathy Hoang, Mr. Lecheler en-us 2014-10-10 15:57:45 UTC 2025-10-23 16:45:31 UTC hello@padlet.com http://www.cutenessoverflow.com/wp-content/uploads/2014/02/Little-Cute-Puppy-1600x1200.jpg adelineho https://padlet.com/adelineho/tph3/wish/112354092 We chose this method over elimination because we were already given the relationship between 2-point goals and 1 point free shows. Since the equation (B=C+305) already has 1 variable isolated, it would be more efficient to plug in and substitute the value of B with C+305  into the shots and points equations so that we could solve with 2 variables instead of 3.


]]> 2016-05-24 15:16:33 UTC https://padlet.com/adelineho/tph3/wish/112354092 khoang17 https://padlet.com/adelineho/tph3/wish/112354550 A = Number of 3-point field goals
B = Number of 2-point field goals
C = Numbrt of 1- point free throws]]> 2016-05-24 15:18:30 UTC https://padlet.com/adelineho/tph3/wish/112354550 laradhyula17 https://padlet.com/adelineho/tph3/wish/112354643 During the 2004-2005 NBA season, Shaquille O' Neal scored 1669 points while making 1011 shots. Shaq's points were a combination of 3-point field goals, 2-point field goals, and 1-point free throws. He made 305 more 2-point field goals than free throws.]]> 2016-05-24 15:18:58 UTC https://padlet.com/adelineho/tph3/wish/112354643 khoang17 https://padlet.com/adelineho/tph3/wish/112354878 Shots: A + B + C = 1011 
Points: 3A + 2B + C = 1669 
Relationship between 2-point goals and 1 point free throws: B = C +305

]]> 2016-05-24 15:19:56 UTC https://padlet.com/adelineho/tph3/wish/112354878 adelineho https://padlet.com/adelineho/tph3/wish/112355124 2016-05-24 15:21:03 UTC https://padlet.com/adelineho/tph3/wish/112355124 adelineho https://padlet.com/adelineho/tph3/wish/112355204 2016-05-24 15:21:22 UTC https://padlet.com/adelineho/tph3/wish/112355204 adelineho https://padlet.com/adelineho/tph3/wish/112355385 1) rewrite all equations so that the variables are one side:

A + B + C = 1011 
3A + 2B + C = 1669 
0A + -B + C  = -305

2) write the coefficient matrix and the solution matrix into a matrix equation:

AX = B]]> 2016-05-24 15:22:12 UTC https://padlet.com/adelineho/tph3/wish/112355385 adelineho https://padlet.com/adelineho/tph3/wish/112355524
We prefer SUBSTITUTION because this method is the most familiar to the everyday person. Matrices can be complicated and easily messed up. One simple mistake can effect the end result of your question a lot more than a mistake made with substitution. Using substitution can also be checked easily.]]> 2016-05-24 15:22:50 UTC https://padlet.com/adelineho/tph3/wish/112355524 khoang17 https://padlet.com/adelineho/tph3/wish/112358088 Substitute B with C + 305:

Shots: A + B + C = 1011
A + (C+305) + C = 1011
A + 2C + 305 (-305) = 1011 (-305)
A + 2C = 706

Points: 3A + 2B + C = 1669
3A + 2(C+305) + C = 1669
3A + 3C + 610 = 1669 
3A + 3C = 1059]]> 2016-05-24 15:35:36 UTC https://padlet.com/adelineho/tph3/wish/112358088 khoang17 https://padlet.com/adelineho/tph3/wish/112358229 Isolate 1 variable to substitute in the second equation. In this case, it would be easiest to solve for A in the first equation.

A + 2C = 706
A = 706 - 2C

Substitute:
3 (706 - 2C) + 3C = 1059
2118 - 3C= 1059
1059 = 3C
353= C]]> 2016-05-24 15:36:23 UTC https://padlet.com/adelineho/tph3/wish/112358229 khoang17 https://padlet.com/adelineho/tph3/wish/112360156 Now, that we have the value of C, we can plug in this value into other equations to find the values of all the variables.

Plug in 353 for C:
A = 706 - 2C
A = 706 - 2(353)
A = 0

Plug in A and C to find B:
A + B + C = 1011
0 + B + 353 = 1011
B = 658]]> 2016-05-24 15:44:54 UTC https://padlet.com/adelineho/tph3/wish/112360156 adelineho https://padlet.com/adelineho/tph3/wish/112360490 3) solve for 'X' by finding the inverse of [A] with a calculator:

to input matrix in a graphic calculator:
- press 2nd, MATRIX, go right 3 times to EDIT
- enter a 3x3 matrix
- put in the values of the coefficient matrix

how to find the inverse of a 3x3 matrix in a graphing calculator
- press 2nd, MATRIX again
- press 1
- press x^-1
- ENTER]]> 2016-05-24 15:46:24 UTC https://padlet.com/adelineho/tph3/wish/112360490 khoang17 https://padlet.com/adelineho/tph3/wish/112361076 Check that A=0, B=658, and C= 353 are correct by plugging them into both of the original points and shots equations.

A + B +C = 1011
0 + 658 + 353  = 1011
1011 = 1011

3A + 2B + C = 1669
3(0) + 2(658) + 353 = 1669 
1669 = 1669

]]> 2016-05-24 15:49:25 UTC https://padlet.com/adelineho/tph3/wish/112361076 adelineho https://padlet.com/adelineho/tph3/wish/112362528 4) multiply both sides of the matrix equation with the inverse of [A]
- solve for X
- simplify

0 3 pointer field goals
658 2 pointer field goals
353 free pointers]]> 2016-05-24 15:57:45 UTC https://padlet.com/adelineho/tph3/wish/112362528 khoang17 https://padlet.com/adelineho/tph3/wish/112365105 2016-05-24 16:10:38 UTC https://padlet.com/adelineho/tph3/wish/112365105 laradhyula17 https://padlet.com/adelineho/tph3/wish/112365131 1. Plug in the coefficients from each equation into the coefficient matrix D. 
2. Plug in the three different solutions into the solution matrix. 
3. Substitute the variables into the three different equations and find the determinant of each one. 
4. Then divide every single one by the determinant of D. ]]> 2016-05-24 16:10:47 UTC https://padlet.com/adelineho/tph3/wish/112365131 khoang17 https://padlet.com/adelineho/tph3/wish/112365435 2016-05-24 16:12:16 UTC https://padlet.com/adelineho/tph3/wish/112365435 khoang17 https://padlet.com/adelineho/tph3/wish/112365694 2016-05-24 16:13:37 UTC https://padlet.com/adelineho/tph3/wish/112365694 khoang17 https://padlet.com/adelineho/tph3/wish/112365982 2016-05-24 16:15:30 UTC https://padlet.com/adelineho/tph3/wish/112365982 khoang17 https://padlet.com/adelineho/tph3/wish/112366001 2016-05-24 16:15:41 UTC https://padlet.com/adelineho/tph3/wish/112366001 khoang17 https://padlet.com/adelineho/tph3/wish/112366135 2016-05-24 16:16:19 UTC https://padlet.com/adelineho/tph3/wish/112366135 khoang17 https://padlet.com/adelineho/tph3/wish/112366328 2016-05-24 16:16:59 UTC https://padlet.com/adelineho/tph3/wish/112366328 khoang17 https://padlet.com/adelineho/tph3/wish/112366392 2016-05-24 16:17:15 UTC https://padlet.com/adelineho/tph3/wish/112366392 khoang17 https://padlet.com/adelineho/tph3/wish/112417762 2016-05-24 21:57:29 UTC https://padlet.com/adelineho/tph3/wish/112417762 khoang17 https://padlet.com/adelineho/tph3/wish/112417845 2016-05-24 21:58:13 UTC https://padlet.com/adelineho/tph3/wish/112417845 adelineho https://padlet.com/adelineho/tph3/wish/113369777 2016-06-01 18:01:05 UTC https://padlet.com/adelineho/tph3/wish/113369777