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12 October, 04:57

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)

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Answers (1)
  1. 12 October, 06:50
    0
    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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