if m1= (2x+2y) and m2=(2x+y) find x and y

Question

And explain

Answer 1

Subtracting equals from equals results in equals.

 

  2x  + 2y  = m₁

  2x  +  y   = m₂

 --------------------- [elimination; subtract equations[

           y  =  (m₁-m₂)

 

   4x + 2y = 2*m₂      [2 * second eq]

   2x + 2y = m₁          [first eq]

 --------------------   [elimination; subtract equations]

   2x         = 2m₂-m₁

   x = (2m₂ - m₁)/2