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16 December, 15:14

12x+15y=34

-6x+5y=3

+3
Answers (1)
  1. 16 December, 16:11
    0
    x = 5/6, y = 8/5

    Step-by-step explanation:

    Solve the following system:

    {12 x + 15 y = 34 | (equation 1)

    {5 y - 6 x = 3 | (equation 2)

    Add 1/2 * (equation 1) to equation 2:

    {12 x + 15 y = 34 | (equation 1)

    {0 x + (25 y) / 2 = 20 | (equation 2)

    Multiply equation 2 by 2/5:

    {12 x + 15 y = 34 | (equation 1)

    {0 x+5 y = 8 | (equation 2)

    Divide equation 2 by 5:

    {12 x + 15 y = 34 | (equation 1)

    {0 x+y = 8/5 | (equation 2)

    Subtract 15 * (equation 2) from equation 1:

    {12 x+0 y = 10 | (equation 1)

    {0 x+y = 8/5 | (equation 2)

    Divide equation 1 by 12:

    {x+0 y = 5/6 | (equation 1)

    {0 x+y = 8/5 | (equation 2)

    Collect results:

    Answer: {x = 5/6, y = 8/5
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