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23 August, 07:16

Y=6x-11 - 2x-3y=-7 solve each system of equation by substitution

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  1. 23 August, 09:33
    0
    (2, 1)

    Step-by-step explanation:

    Given the 2 equations

    y = 6x - 11 → (1)

    - 2x - 3y = - 7 → (2)

    Substitute y = 6x - 11 into (2)

    - 2x - 3 (6x - 11) = - 7 ← distribute and simplify left side

    - 2x - 18x + 33 = - 7

    - 20x + 33 = - 7 (subtract 33 from both sides)

    - 20x = - 40 (divide both sides by - 20)

    x = 2

    Substitute x = 2 into (1) for corresponding value of y

    y = 6 (2) - 11 = 12 - 11 = 1

    Solution is (2, 1)
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