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30 July, 21:50

What is the elimination method for 3x-2y=7 x+y=-1

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  1. 30 July, 21:52
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    x = - 3/17, y = 4/17

    Step-by-step explanation:

    Solve the following system:

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

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

    Swap equation 1 with equation 2:

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

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

    Subtract 3/7 * (equation 1) from equation 2:

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

    {0 x - (17 y) / 7 = - 4/7 | (equation 2)

    Multiply equation 2 by - 7:

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

    {0 x+17 y = 4 | (equation 2)

    Divide equation 2 by 17:

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

    {0 x+y = 4/17 | (equation 2)

    Subtract equation 2 from equation 1:

    {7 x+0 y = - 21/17 | (equation 1)

    {0 x+y = 4/17 | (equation 2)

    Divide equation 1 by 7:

    {x+0 y = - 3/17 | (equation 1)

    {0 x+y = 4/17 | (equation 2)

    Collect results:

    Answer: {x = - 3/17, y = 4/17
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