Question

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

Answer 1

`(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`