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28 July, 10:34

Solve by substitution {x-4y=22} and {4x-5y=22}

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  1. 28 July, 12:09
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    X - 4y = 22

    Add 4y to each side

    x = 22 + 4y

    Now replace x with 22 + 4y in the second equation.

    4 (22 + 4y) - 5y = 22

    Distribute.

    88 + 16y - 5y = 22

    Simplify.

    88 + 11y = 22

    Subtract 88 from each side.

    11y = - 66

    Divide by 11.

    y = - 6

    Plug in - 6 for y in an earlier equation and solve for x.

    x-4 (-6) = 22

    Negative 4 times negative 6 = 24 (the negatives cancel)

    x+24=22

    Subtract 24 from each side.

    x = - 2
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