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10 November, 13:05

Solving systems of equations using any method

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  1. 10 November, 14:02
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    x = 5, y = 2

    Step-by-step explanation:

    Solve the following system:

    {y = (7 x) / 5 - 5 | (equation 1)

    {y = (3 x) / 5 - 1 | (equation 2)

    Express the system in standard form:

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

    { - (3 x) / 5 + y = - 1 | (equation 2)

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

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

    {0 x + (4 y) / 7 = 8/7 | (equation 2)

    Multiply equation 1 by 5:

    { - (7 x) + 5 y = - 25 | (equation 1)

    {0 x + (4 y) / 7 = 8/7 | (equation 2)

    Multiply equation 2 by 7/4:

    { - (7 x) + 5 y = - 25 | (equation 1)

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

    Subtract 5 * (equation 2) from equation 1:

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

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

    Divide equation 1 by - 7:

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

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

    Collect results:

    Answer: {x = 5, y = 2
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