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7 August, 08:45

Y = - 4x + 1 y = - 2x - 3

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  1. 7 August, 08:48
    0
    x = 2, y = - 7

    Step-by-step explanation:

    Solve the following system:

    {y = 1 - 4 x | (equation 1)

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

    Express the system in standard form:

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

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

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

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

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

    Multiply equation 2 by 2:

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

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

    Subtract equation 2 from equation 1:

    {4 x+0 y = 8 | (equation 1)

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

    Divide equation 1 by 4:

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

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

    Collect results:

    Answer: {x = 2, y = - 7
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