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10 November, 21:32

How do you solve d=7a d=4a+30

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  1. 11 November, 01:25
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    a = 10, d = 70

    Step-by-step explanation:

    Solve the following system:

    {d = 7 a | (equation 1)

    {d = 4 a + 30 | (equation 2)

    Express the system in standard form:

    { - (7 a) + d = 0 | (equation 1)

    { - (4 a) + d = 30 | (equation 2)

    Subtract 4/7 * (equation 1) from equation 2:

    { - (7 a) + d = 0 | (equation 1)

    {0 a + (3 d) / 7 = 30 | (equation 2)

    Multiply equation 2 by 7/3:

    { - (7 a) + d = 0 | (equation 1)

    {0 a+d = 70 | (equation 2)

    Subtract equation 2 from equation 1:

    { - (7 a) + 0 d = - 70 | (equation 1)

    {0 a+d = 70 | (equation 2)

    Divide equation 1 by - 7:

    {a+0 d = 10 | (equation 1)

    {0 a+d = 70 | (equation 2)

    Collect results:

    Answer: {a = 10, d = 70
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