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27 March, 17:20

How to solve

x+7y=0 2x-8y=20

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Answers (1)
  1. 27 March, 18:02
    0
    Solve the following system:

    {x + 7 y = 0 | (equation 1)

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

    Swap equation 1 with equation 2:

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

    {x + 7 y = 0 | (equation 2)

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

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

    {0 x+11 y = - 10 | (equation 2)

    Divide equation 1 by 2:

    {x - 4 y = 10 | (equation 1)

    {0 x+11 y = - 10 | (equation 2)

    Divide equation 2 by 11:

    {x - 4 y = 10 | (equation 1)

    {0 x+y = (-10) / 11 | (equation 2)

    Add 4 * (equation 2) to equation 1:

    {x+0 y = 70/11 | (equation 1)

    {0 x+y = - 10/11 | (equation 2)

    Collect results:

    Answer: {x = 70/11

    {y = - 10/11
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