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29 August, 20:53

Solve each system using elimination 2x+4y=22 2x-2y=-8

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  1. 29 August, 21:03
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    (1, 5)

    Step-by-step explanation:

    Given the 2 equations

    2x + 4y = 22 → (1)

    2x - 2y = - 8 → (2)

    Subtract (1) from (2) term by term to eliminate x

    2x - 2x - 2y - 4y = - 8 - 22, that is

    - 6y = - 30 (divide both sides by - 6)

    y = 5

    Substitute y = 5 in either (1) or (2) and solve for x

    Substituting in (1)

    2x + 4 (5) = 22

    2x + 20 = 22 (subtract 20 from both sides)

    2x = 2 (divide both sides by 2)

    x = 1

    Solution is (1, 5)
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