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26 November, 06:28

A system of equations is shown:

4c + 2d = 11

(7/2) d = 41 - 220

What is the solution to the system?

C = ?

D = ?

+2
Answers (1)
  1. 26 November, 06:37
    0
    c = 793/28, d = - 358/7

    Step-by-step explanation:

    Solve the following system:

    {4 c + 2 d = 11 | (equation 1)

    (7 d) / 2 = - 179 | (equation 2)

    Multiply equation 2 by 2:

    {4 c + 2 d = 11 | (equation 1)

    0 c+7 d = - 358 | (equation 2)

    Divide equation 2 by 7:

    {4 c + 2 d = 11 | (equation 1)

    0 c+d = - 358/7 | (equation 2)

    Subtract 2 * (equation 2) from equation 1:

    {4 c+0 d = 793/7 | (equation 1)

    0 c+d = - 358/7 | (equation 2)

    Divide equation 1 by 4:

    {c+0 d = 793/28 | (equation 1)

    0 c+d = - 358/7 | (equation 2)

    Collect results:

    Answer: {c = 793/28, d = - 358/7
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