Question

How do you solve the system?: `x + 3y = –4`, `2x + 2y = –8`?

Answer 1

`(x,y) = (-4,0)`

Explanation:

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

Multiply [1] by `2`
[3]`color(white)("XXX")2x+6y=-8`

Subtract[2] from [3]
[4]`color(white)("XXX")4y=0`

Divide [4] by `4`
[5]`color(white)("XXX")y=0`

Substitute `0` for `y` in [1]
[6]`color(white)("XXX")x+3(0)=-4`

Simplify
[7]`color(white)("XXX")x=-4`