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Answer:

D. (-2, 6)

Step-by-step explanation:

First, isolate a variable in one of the equations (i.e y = or x =)

The first equation already has isolated x.

x = y - 8 or y - 8 = x

5x + y = -4

Substitute the isolated variable into the second equation.

5(y-8) + y = -4

There is now only one variable, y, in the equation. Now you can solve for y.

First, use the distributive property to get the equation

5y - 40 + y = -4

Then, add 40 to both sides.

5y + y = 36

Add like-terms.

6y = 36

Divide.

36 / 6 = 6

So, y = 6.

Now that we have one coordinate, y = 6, you can substitute for y in the first equation.

x = 6 - 8

Subtract.

x = -2

Your coordinates are now x = -2 and y = 6, or (-2, 6).

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