Question

How do you solve the system of equations: 3x + 2y = 2, -2x + y = 8?

Answer 1

`(x,y) = (-2,4)`

Explanation:

[1]`color(white)("XXXX")` `3x+2y=2`
[2]`color(white)("XXXX")` `-2x+y=8`

Multiply [2] by 2
[3]`color(white)("XXXX")` `-4x+2y = 16`

Subtract [3] from [1]
[4]`color(white)("XXXX")` `7x = -14`

Divide by `7`
[5]`color(white)("XXXX")` `x = -2`

Substitute `(-2)` for `x` in [1]
[6]`color(white)("XXXX")` `3(-2)+2y=2`

Simplify
[7]`color(white)("XXXX")` `y=4`