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16 April, 01:49

2x + 6y = 386

4x + 4y=292

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Answers (1)
  1. 16 April, 01:57
    0
    x = 13, y = 60

    Step-by-step explanation:

    Solve the following system:

    {2 x + 6 y = 386 | (equation 1)

    4 x + 4 y = 292 | (equation 2)

    Swap equation 1 with equation 2:

    {4 x + 4 y = 292 | (equation 1)

    2 x + 6 y = 386 | (equation 2)

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

    {4 x + 4 y = 292 | (equation 1)

    0 x+4 y = 240 | (equation 2)

    Divide equation 1 by 4:

    {x + y = 73 | (equation 1)

    0 x+4 y = 240 | (equation 2)

    Divide equation 2 by 4:

    {x + y = 73 | (equation 1)

    0 x+y = 60 | (equation 2)

    Subtract equation 2 from equation 1:

    {x+0 y = 13 | (equation 1)

    0 x+y = 60 | (equation 2)

    Collect results:

    Answer: {x = 13, y = 60
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