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20 March, 02:34

Solve problem using the substitution method?

3x - 24 = 7y

4y = 21 - 5x

+5
Answers (1)
  1. 20 March, 05:42
    0
    The answer to your question is x = 243/47 y = 749 / 329

    Step-by-step explanation:

    Data

    Equations 3x - 24 = 7y Equation l

    4y = 21 - 5x Equation ll

    -Solve equation l for y

    y = (3x - 24) / 7

    -Substitute in Equation ll

    4 (3x - 24) / 7 = 21 - 5x

    -Multiply by 7

    4 (3x - 24) = 7 (21 - 5x)

    -Simplify

    12x - 96 = 147 - 35x

    -Solve for x

    12x + 35x = 147 + 96

    47x = 243

    x = 243/47

    -Substitute x on equation l

    y = (3 (243/47) - 24) / 7

    y = [729/47 - 24]/7

    y = 749 / 329
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