See the answer to your other question. Like that one, this is a system of linear equations in two variables.

The easiest way to solve this one is by linear combination/elimination. Notice that if we multiply the second one all the way through by -4, we will end up with a -4x, which when added to the first one will leave only a y term on the left and a number on the right:

4x + 5y = -8

x + 2y = -8 (multiply this equation by -4)

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4x + 5y = -8

-4x - 8y = +32

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Now add the two equations:

- 3y = 24 (now divide by 3)

**y = -8**

Substitute y = -8 into either of the original dequations to solve for x:

x + 2(-8) = -8

x - 16 = -8 (now add 16 to both sides)

**x = 8**

The solution set is **(8, -8)**