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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)

Verified Answer :

AndyBryer

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.


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