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22 July, 22:52

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

7x-3y=37

14x+11y=23

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Answers (1)
  1. 23 July, 02:39
    0
    Solve the following system:

    {7 x - 3 y = 37 | (equation 1)

    {14 x + 11 y = 23 | (equation 2)

    Swap equation 1 with equation 2:

    {14 x + 11 y = 23 | (equation 1)

    {7 x - 3 y = 37 | (equation 2)

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

    {14 x + 11 y = 23 | (equation 1)

    {0 x - (17 y) / 2 = 51/2 | (equation 2)

    Multiply equation 2 by 2/17:

    {14 x + 11 y = 23 | (equation 1)

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

    Multiply equation 2 by - 1:

    {14 x + 11 y = 23 | (equation 1)

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

    Subtract 11 * (equation 2) from equation 1:

    {14 x+0 y = 56 | (equation 1)

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

    Divide equation 1 by 14:

    {x+0 y = 4 | (equation 1)

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

    Collect results:

    Answer: {x = 4

    {y = - 3
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