Solve the following system by any method.

-8x - 8y = 0

-8x + 2y = - 20

A. (2, - 2)

B. (-2, 2)

C. (2, 2)

D. (0, - 2)

We can rearrange the two equations to get x in terms of y.

-8x - 8y = 0

-8y = 8x

x = - y

AND

-8x + 2y = - 20

-8x = - 20 - 2y

x = y/4 + 2.5

Now we have - y = y/4 + 2.5

By multiplying all by 4 we get:

-4y = y + 10

-5y = 10

y = - 2

And because we know that x = - y, x = 2

So the solution is (2,-2) - A.