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15 October, 05:44

Solve the system of linear equations using elimination. - 2x - y = 3 - 9x - y = 17

A) (2, 1) B) (2, - 1) C) (-2, 1) D) (-2, - 1)

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  1. 15 October, 06:49
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    x = - 2, y = 1

    Step-by-step explanation:

    Solve the following system:

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

    -9 x - y = 17 | (equation 2)

    Swap equation 1 with equation 2:

    { - (9 x) - y = 17 | (equation 1)

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

    Subtract 2/9 * (equation 1) from equation 2:

    { - (9 x) - y = 17 | (equation 1)

    0 x - (7 y) / 9 = - 7/9 | (equation 2)

    Multiply equation 2 by - 9/7:

    { - (9 x) - y = 17 | (equation 1)

    0 x+y = 1 | (equation 2)

    Add equation 2 to equation 1:

    { - (9 x) + 0 y = 18 | (equation 1)

    0 x+y = 1 | (equation 2)

    Divide equation 1 by - 9:

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

    0 x+y = 1 | (equation 2)

    Collect results:

    Answer: {x = - 2, y = 1
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