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31 October, 19:02

Me ajudem a responder por favor

X-2y=2

2x+4y=36

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Answers (2)
  1. 31 October, 19:11
    0
    x = 10, y = 4

    Step-by-step explanation:

    Solve the following system:

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

    2 x + 4 y = 36 | (equation 2)

    Swap equation 1 with equation 2:

    {2 x + 4 y = 36 | (equation 1)

    x - 2 y = 2 | (equation 2)

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

    {2 x + 4 y = 36 | (equation 1)

    0 x - 4 y = - 16 | (equation 2)

    Divide equation 1 by 2:

    {x + 2 y = 18 | (equation 1)

    0 x - 4 y = - 16 | (equation 2)

    Divide equation 2 by - 4:

    {x + 2 y = 18 | (equation 1)

    0 x+y = 4 | (equation 2)

    Subtract 2 * (equation 2) from equation 1:

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

    0 x+y = 4 | (equation 2)

    Collect results:

    Answer: {x = 10, y = 4
  2. 31 October, 19:24
    0
    Rearrange first equation

    2y = x-2

    X = 2y + 2

    Plug in values

    2 (2y+2) + 4y = 36

    4y + 4 + 4y=36

    8y+4 = 36

    8y=32

    Y=4

    Solved for y, now plug in to find x.

    2y=x-2

    2 (4) = x - 2

    8 = x-2

    X = 10
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