Group 2 Math Linear Equations in 2 Variables by Rakshant Ramesh https://padlet.com/rakshant10/xwfios6axvq57ppj Algebraic expressions of a pair of linear equations, consistency, inconsistency and its solutions. en-us 2021-07-06 13:13:26 UTC 2025-11-18 08:11:05 UTC hello@padlet.com rakshant10 https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1638810604 Refer this Table]]> 2021-07-06 13:20:38 UTC https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1638810604 rakshant10 https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1638821524 2021-07-06 13:29:38 UTC https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1638821524 Three Types of Graph rakshant10 https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1638834194 Intersecting, Coincident, Parallel]]> 2021-07-06 13:40:00 UTC https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1638834194 Examples of consistent linear equations. https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1638842906 Q) The sum of distance from A to B and B to C is 2 km and the sum of distance from A to B and B to C is 2000 km.
A) Its the same scenario with different values. 
  • Let A to B = x
       B to C  = y
Hence, 2x + 2y = 2000
y = 2000 - x / 2
   = 1000 - x
The solutions are :
X  0         500  1000
Y  1000  500   0
  • x = 2000 - y / 2 
           = 1000 - y
The solutions are :
X  0         500  1000
Y  1000  500   0
Hence, the solutions are same as the scenario was same and the condition was different. This is an example of coincident lines. 
Coincident lines have infinite solutions and hence consistent.
]]> 2021-07-06 13:46:24 UTC https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1638842906 Derivation of consistent equation https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1638878098 1.Coincident Lines
2x + 5y + 24 = 0
4x + 10y + 12 = 0
Condition.
a1/a2 = b1/b2 = c1/c2  2/4=5/10=24/12
1/2=1/2=1/2
Hence, 
they are all equal 
Therefore, derived. 
]]> 2021-07-06 14:13:34 UTC https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1638878098 Example of Inconsistent Pair Daksh_Nahata https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1639768026 Q: x – y = 8, 3x – 3y = 16
A: Given, x – y = 8 and 3x – 3y = 16Standard Form of it: x-y-8=0 3x-3y-16=o
(a1/a2) = 1/3

(b1/b2) = -1/-3 = 1/3

(c1/c2) = -8/-16 = 1/2

Since, (a1/a2) = (b1/b2) ≠ (c1/c2)

The equations are parallel to each other and have no solutions. Hence, the pair of linear equations is inconsistent.
]]> 2021-07-07 03:51:11 UTC https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1639768026 rakshant10 https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1639818800 Linear equations in two variables are equations which can be expressed as ax + by + c = 0, where a, b and c are real numbers and both a, and b are not zero.]]> 2021-07-07 04:30:36 UTC https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1639818800 https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1639819744 the two linear equation are in the same two variable x and y is called linear equation in two variable ]]> 2021-07-07 04:31:20 UTC https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1639819744 General Form rakshant10 https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1639820535 a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
where a1, a2, b1, b2, c1, c2 are Real Numbers.]]> 2021-07-07 04:31:52 UTC https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1639820535 Rakshant.R rakshant10 https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1664722067 2021-07-30 05:15:33 UTC https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1664722067 Hellen rakshant10 https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1664722197 2021-07-30 05:15:43 UTC https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1664722197 Daksh rakshant10 https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1664722269 2021-07-30 05:15:49 UTC https://padlet.com/rakshant10/xwfios6axvq57ppj/wish/1664722269