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21 July, 07:55

5x-2y=14, 2x-y=5 substitution

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  1. 21 July, 09:26
    0
    The solution set is (4, 3)

    Step-by-step explanation:

    To solve by substitution, start by solving the second equation for y.

    2x - y = 5

    -y = - 2x + 5

    y = 2x - 5

    Now that we have this, put that expression in for y in the first equation and solve for x.

    5x - 2 (2x - 5) = 14

    5x - 4x + 10 = 14

    x + 10 = 14

    x = 4

    Now that we have the value of x, input it into either equation and solve for y.

    2x - y = 5

    2 (4) - y = 5

    8 - y = 5

    -y = - 3

    y = 3
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