Question

What is -8x - 2y = -24 and -4x + 8y = -48

Answer 1

`y=-4,x=4`

Explanation:

I'm going to reference to each equation as:

Equation 1:

`-8x - 2y = -24`

Equation 2:

`-4x + 8y = -48`

First, we need to get equal amounts of x's or y's in both equations, I am going to double equation 2, so then both equations will have an equal amount of x's.

(1)
`-8x - 2y = -24`

(2)
`-8x+16y=-96`

Now our both equations have the same amount of a term, we can subtract these equations from other in order to cancel out that term, leaving us with one unknown. We do this as we are able to solve equations with just one unknown.

`-8x-2y-(-8x+16y)=-24-(-96)` - simplify

`-8x+8x-2y-16y=-24+96` - simplify

`-18y=72` - solve for y

`y=-4`

Now we have y, we can substitute it back into one of our equations to find x

`-8x - 2y = -24` - substitute in
`y = -4`

`-8x+8=-24` - rearrange

`-8x=-32` - solve for x

`x=4`