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20 April, 15:18

Solve the system of linear equations. separate the x - and y - values with a coma. - x=62-18y

2x=38-18y

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Answers (1)
  1. 20 April, 15:35
    0
    Solve the following system:

    {-x = 62 - 18 y | (equation 1) {2 x = 38 - 18 y | (equation 2)

    Express the system in standard form:

    {-x + 18 y = 62 | (equation 1) {2 x + 18 y = 38 | (equation 2)

    Swap equation 1 with equation 2:

    {2 x + 18 y = 38 | (equation 1) {-x + 18 y = 62 | (equation 2)

    Add 1/2 * (equation 1) to equation 2:

    {2 x + 18 y = 38 | (equation 1) {0 x+27 y = 81 | (equation 2)

    Divide equation 1 by 2:

    {x + 9 y = 19 | (equation 1) {0 x+27 y = 81 | (equation 2)

    Divide equation 2 by 27:

    {x + 9 y = 19 | (equation 1) {0 x+y = 3 | (equation 2)

    Subtract 9 * (equation 2) from equation 1:

    {x+0 y = - 8 | (equation 1) {0 x+y = 3 | (equation 2)

    Collect results:

    Answer: {x = - 8, y = 3
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