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28 September, 03:32

9x-2y=-21 2x+3y=16 Substitution

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  1. 28 September, 03:46
    0
    x = - 1 y = 6

    Step-by-step explanation:

    Solve equation [2] for the variable y

    [2] 3y = - 2x + 16

    [2] y = - 2x/3 + 16/3

    Plug this in for variable y in equation [1]

    [1] 9x - 2• (-2x/3+16/3) = - 21

    [1] 31x/3 = - 31/3

    [1] 31x = - 31

    Solve equation [1] for the variable x

    [1] 31x = - 31

    [1] x = - 1

    By now we know this much:

    x = - 1

    y = - 2x/3+16/3

    Use the x value to solve for y

    y = - (2/3) (-1) + 16/3 = 6

    Solution:

    {x, y} = {-1,6}
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