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17 May, 00:17

12x - 2y = - 1

+ 4x + 6y = - 4

+1
Answers (1)
  1. 17 May, 00:41
    0
    x = - 7/40, y = - 11/20

    Step-by-step explanation:

    Solve the following system:

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

    4 x + 6 y = - 4 | (equation 2)

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

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

    0 x + (20 y) / 3 = (-11) / 3 | (equation 2)

    Multiply equation 2 by 3:

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

    0 x+20 y = - 11 | (equation 2)

    Divide equation 2 by 20:

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

    0 x+y = (-11) / 20 | (equation 2)

    Add 2 * (equation 2) to equation 1:

    {12 x+0 y = (-21) / 10 | (equation 1)

    0 x+y = - 11/20 | (equation 2)

    Divide equation 1 by 12:

    {x+0 y = (-7) / 40 | (equation 1)

    0 x+y = - 11/20 | (equation 2)

    Collect results:

    Answer: {x = - 7/40, y = - 11/20
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