Question

How do you solve `-6x + 2y = -44` and `-10x + 2y = -60`?

Answer 1

`x=4`
`y=-10`

Explanation:

`-6x+2y=-44`
`-10x+2y=-60`

We multiply the first one by (-1) and add it to the second one, so we can use the elimination method.

`6x-2y=44`
`-10xcolor(red)cancel(color(black)(+2y))+6xcolor(red)cancel(color(black)(-2y))=-60+44`

`6x-2y=44`
`-4x=-16`

`6x-2y=44`
`x=4`

`6*4-2y=44`
`x=4`

`24-2y=44`
`x=4`

`-2y=44-24`
`x=4`

`-2y=20`
`x=4`

`y=-10`
`x=4`