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1 August, 10:04

What is the solution of the system?

Use either the substitution method or the elimination method.

7x + 2y = - 19

-x + 2y = 21

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Answers (1)
  1. 1 August, 10:08
    0
    Solve the following system using elimination:

    {7 x + 2 y = - 19 | (equation 1)

    {2 y - x = 21 | (equation 2)

    Add 1/7 * (equation 1) to equation 2:

    {7 x + 2 y = - 19 | (equation 1)

    {0 x + (16 y) / 7 = 128/7 | (equation 2)

    Multiply equation 2 by 7/16:

    {7 x + 2 y = - 19 | (equation 1)

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

    Subtract 2 * (equation 2) from equation 1:

    {7 x+0 y = - 35 | (equation 1)

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

    Divide equation 1 by 7:

    {x+0 y = - 5 | (equation 1)

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

    Collect results:

    Answer: {x = - 5, y = 8
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