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4 April, 04:57

Solve, using the substitution method.

2x + 4y = 16

x - 7 = - 4y

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Answers (1)
  1. 4 April, 05:03
    0
    2x + 4y = 16

    and

    x - 7 = - 4y

    This problem can be easily solved by the method of substitution.

    x = 7 - 4y

    If we now replace the x in the first equation by the value of x we found from the second equation, then

    2x + 4y = 16

    2 (7 - 4y) + 4y = 16

    14 - 8y + 4y = 16

    14 - 4y = 16

    -4y = 16 - 14

    -4y = 2

    -y = 1/2

    y = - 1/2

    Now if we replace the value of y in the first equation, we can get the value of x

    2x + 4y = 16

    2x + 4 (-1/2) = 16

    2x - 2 = 16

    2x = 16 + 2

    2x = 18

    x = 9
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