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30 July, 13:58

2 (x-6) + 5=-5

75=27+3 (3t-2)

-2/3 (6c-9) + x=-18

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Answers (1)
  1. 30 July, 15:39
    0
    {c = 25/4

    {t = 6

    {x = 1

    Step-by-step explanation:

    Solve the following system:

    {2 (x - 6) + 5 = - 5 | (equation 1)

    {75 = 3 (3 t - 2) + 27 | (equation 2)

    {x - 2/3 (6 c - 9) = - 18 | (equation 3)

    Express the system in standard form:

    {0 c+0 t+2 x = 2 | (equation 1)

    {0 c - 9 t+0 x = - 54 | (equation 2)

    { - (4 c) + 0 t+x = - 24 | (equation 3)

    Swap equation 1 with equation 3:

    { - (4 c) + 0 t+x = - 24 | (equation 1)

    {0 c - 9 t+0 x = - 54 | (equation 2)

    0 c+0 t+2 x = 2 | (equation 3)

    Divide equation 2 by - 9:

    { - (4 c) + 0 t+x = - 24 | (equation 1)

    {0 c+t+0 x = 6 | (equation 2)

    {0 c+0 t+2 x = 2 | (equation 3)

    Divide equation 3 by 2:

    { - (4 c) + 0 t+x = - 24 | (equation 1)

    {0 c+t+0 x = 6 | (equation 2)

    {0 c+0 t+x = 1 | (equation 3)

    Subtract equation 3 from equation 1:

    { - (4 c) + 0 t+0 x = - 25 | (equation 1)

    {0 c+t+0 x = 6 | (equation 2)

    {0 c+0 t+x = 1 | (equation 3)

    Divide equation 1 by - 4:

    {c+0 t+0 x = 25/4 | (equation 1)

    {0 c+t+0 x = 6 | (equation 2)

    {0 c+0 t+x = 1 | (equation 3)

    Collect results:

    Answer: {c = 25/4

    {t = 6

    {x = 1
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