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30 December, 08:54

9a-3d=31

-3d+1d=-1

Solve by elimination

+3
Answers (1)
  1. 30 December, 09:08
    0
    a = 65/18, d = 1/2

    Step-by-step explanation by elimination:

    Solve the following system:

    {9 a - 3 d = 31 | (equation 1)

    -2 d = - 1 | (equation 2)

    Multiply equation 2 by - 1:

    {9 a - 3 d = 31 | (equation 1)

    0 a+2 d = 1 | (equation 2)

    Divide equation 2 by 2:

    {9 a - 3 d = 31 | (equation 1)

    0 a+d = 1/2 | (equation 2)

    Add 3 * (equation 2) to equation 1:

    {9 a+0 d = 65/2 | (equation 1)

    0 a+d = 1/2 | (equation 2)

    Divide equation 1 by 9:

    {a+0 d = 65/18 | (equation 1)

    0 a+d = 1/2 | (equation 2)

    Collect results:

    Answer: {a = 65/18, d = 1/2
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