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14 September, 23:01

5x - 2y = 3 - 5x + 4y = 9 systems of equation

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  1. 14 September, 23:50
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    x = 3, y = 6

    Step-by-step explanation:

    Solve the following system:

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

    {4 y - 5 x = 9 | (equation 2)

    Add equation 1 to equation 2:

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

    {0 x+2 y = 12 | (equation 2)

    Divide equation 2 by 2:

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

    {0 x+y = 6 | (equation 2)

    Add 2 * (equation 2) to equation 1:

    {5 x+0 y = 15 | (equation 1)

    {0 x+y = 6 | (equation 2)

    Divide equation 1 by 5:

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

    {0 x+y = 6 | (equation 2)

    Collect results:

    Answer: {x = 3, y = 6
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