How do you solve -4x+y=-11 and 2x-3y=5?

1 Answer
Nov 30, 2015

(x,y)=(145,15)

Explanation:

Given:
[1]XXX4x+y=11
[2]XXX2x3y=5

Multiply [2] by 2 giving x a coefficient of the same magnitude as in [1]
[3]XXX4x6y=10

Add [1] and [3], eliminating the x term
[4]XXX5y=1

Divide both sides of [4] by (5)
[6]XXXy=15

Multiply [1] by 3 giving y a coefficient of the same magnitude as in [2]
[7]XXX12x+3y=33

Add [2] and [7], eliminating the y term
[8]XXX10x=28

Divide both sides of [8] by (10)
[9]XXXx=145