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7 October, 14:22

What is the solution to the following system of equations? x - 4y = 6 2x + 2y = 12

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  1. 7 October, 15:18
    0
    (6, 0)

    Step-by-step explanation:

    Given the 2 equations

    x - 4y = 6 → (1)

    2x + 2y = 12 → (2)

    Rearrange (1) expressing x in terms of y by adding 4y to both sides

    x = 6 + 4y → (3)

    Substitute x = 6 + 4y into (2)

    2 (6 + 4y) + 2y = 12 ← distribute and simplify left side

    12 + 8y + 2y = 12

    10y + 12 = 12 (subtract 12 from both sides)

    10y = 0 ⇒ y = 0

    Substitute y = 0 into (3) for corresponding value of x

    x = 6 + 4 (0) = 6 + 0 = 6

    Solution is (6, 0)
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