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30 January, 04:30

3x+2y=12+y 4y-7x=10 solve

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Answers (2)
  1. 30 January, 05:14
    0
    x = 2, y = 6

    Step-by-step explanation:

    Solve the following system:

    {3 x + 2 y = y + 12 | (equation 1)

    4 y - 7 x = 10 | (equation 2)

    Express the system in standard form:

    {3 x + y = 12 | (equation 1)

    - (7 x) + 4 y = 10 | (equation 2)

    Swap equation 1 with equation 2:

    { - (7 x) + 4 y = 10 | (equation 1)

    3 x + y = 12 | (equation 2)

    Add 3/7 * (equation 1) to equation 2:

    { - (7 x) + 4 y = 10 | (equation 1)

    0 x + (19 y) / 7 = 114/7 | (equation 2)

    Multiply equation 2 by 7/19:

    { - (7 x) + 4 y = 10 | (equation 1)

    0 x+y = 6 | (equation 2)

    Subtract 4 * (equation 2) from equation 1:

    { - (7 x) + 0 y = - 14 | (equation 1)

    0 x+y = 6 | (equation 2)

    Divide equation 1 by - 7:

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

    0 x+y = 6 | (equation 2)

    Collect results:

    Answer:{x = 2, y = 6
  2. 30 January, 05:53
    0
    x=2 y=6
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