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30 January, 05:02

Solve the system of equations

4x+7y=47

5x-4y=-5

+5
Answers (1)
  1. 30 January, 08:32
    0
    (3,5)

    Step-by-step explanation:

    To solve the system using the substitution method start by isolating one of the variables in the first equation.

    4x+7y-7y=47 - 7y

    4x / 4 = (-7y + 47) / 4

    x = - 1.75y + 11.75

    Next, substitute x = - 1.75y + 11.75 into equation 2 replacing x.

    5 (-1.75y + 11.75) - 4y=-5

    -8.75y+58.75 - 4y=-5

    -8.75y+58.75 - 58.75 - 4y=-5 - 58.75

    -8.75y-4y=-63.75

    (-12.75y) / -12.75y = (-63.75) / -12.75y

    y = 5

    Last, substitute y=5 into equation 1 and solve.

    4x+7 (5) = 47

    4x+35-35=47-35

    4x=12

    x=3
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