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23 December, 22:05

Solve by elimination

-5x+8y=-27

-8x+7y=-20

+4
Answers (1)
  1. 24 December, 00:41
    0
    x = - 1, y = - 4

    Step-by-step explanation by elimination:

    Solve the following system:

    {8 y - 5 x = - 27 | (equation 1)

    7 y - 8 x = - 20 | (equation 2)

    Swap equation 1 with equation 2:

    { - (8 x) + 7 y = - 20 | (equation 1)

    - (5 x) + 8 y = - 27 | (equation 2)

    Subtract 5/8 * (equation 1) from equation 2:

    { - (8 x) + 7 y = - 20 | (equation 1)

    0 x + (29 y) / 8 = (-29) / 2 | (equation 2)

    Multiply equation 2 by 8/29:

    { - (8 x) + 7 y = - 20 | (equation 1)

    0 x+y = - 4 | (equation 2)

    Subtract 7 * (equation 2) from equation 1:

    { - (8 x) + 0 y = 8 | (equation 1)

    0 x+y = - 4 | (equation 2)

    Divide equation 1 by - 8:

    {x+0 y = - 1 | (equation 1)

    0 x+y = - 4 | (equation 2)

    Collect results:

    Answer: {x = - 1, y = - 4
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