How do you solve 4x+2y=-8 and -2x+3y=12?

1 Answer
Alan P.
May 16, 2018

(x,y)=(-3,2)

Explanation:

Given
[1]color(white)("XXX")4x+2y=-8
[2]color(white)("XXX")-2x+3y=12

Multiplying [2] by 2 so the coefficient of x has the same magnitude as that of [1]
[3]color(white)("XXX")-4x+6y=24

Add [1] and [3]
[4]color(white)("XXX")8y=16

[5]color(white)("XXX")y=2

Substituting 2 for y in [1]
[6]color(white)("XXX")4x+ 2 * 2 =-8

[7]color(white)("XXX")x=-3

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