Question

How do you solve `-10x - 2y = 56` and `6x - 2y = -40`?

Answer 1

Eliminate one variable between the two equations

Explanation:

Subtract second equation from the first:
`(-10x-2y)-(6x-2y)=56-(-40)`
`-16x=96`
`x=-6`

Substitute this into the second equation:
`6(-6)-2y=-40`
`-36-2y=-40`
`-2y=-4`
`y=2`

So `(x,y)=(-6,2)`.