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30 August, 19:55

5x - 7y = 58

y = - x - 2

X=

Y=

0
Answers (1)
  1. 30 August, 20:03
    0
    x = 11/3, y = - 17/3

    Step-by-step explanation:

    Solve the following system:

    {5 x - 7 y = 58 | (equation 1)

    y = - x - 2 | (equation 2)

    Express the system in standard form:

    {5 x - 7 y = 58 | (equation 1)

    x + y = - 2 | (equation 2)

    Subtract 1/5 * (equation 1) from equation 2:

    {5 x - 7 y = 58 | (equation 1)

    0 x + (12 y) / 5 = (-68) / 5 | (equation 2)

    Multiply equation 2 by 5/4:

    {5 x - 7 y = 58 | (equation 1)

    0 x+3 y = - 17 | (equation 2)

    Divide equation 2 by 3:

    {5 x - 7 y = 58 | (equation 1)

    0 x+y = (-17) / 3 | (equation 2)

    Add 7 * (equation 2) to equation 1:

    {5 x+0 y = 55/3 | (equation 1)

    0 x+y = - 17/3 | (equation 2)

    Divide equation 1 by 5:

    {x+0 y = 11/3 | (equation 1)

    0 x+y = - 17/3 | (equation 2)

    Collect results:

    Answer: {x = 11/3, y = - 17/3
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