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13 January, 18:39

How do I solve |5-3p|+9=13p+8

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  1. 13 January, 19:47
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    p = - 2/5 or 3/8

    Step-by-step explanation:

    |5 - 3p| + 9 = 13p + 8

    |5 - 3p| = 13p - 1

    If 5 - 3p is positive:

    5 - 3p = 13p - 1

    6 = 16p

    p = 3/8

    If 5 - 3p is negative:

    - (5 - 3p) = 13p - 1

    -5 + 3p = 13p - 1

    -4 = 10p

    p = - 2/5

    Alternatively, we can square both sides of the equation:

    (5 - 3p) ² = (13p - 1) ²

    25 - 30p + 9p² = 169p² - 26p + 1

    0 = 160p² + 4p - 24

    0 = 40p² + p - 6

    0 = (5p + 2) (8p - 3)

    p = - 2/5 or 3/8
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