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28 August, 06:51

Solve 5 over x plus 8 equals 3 over x for x, and determine if the solution is extraneous or not.

x = 12, non-extraneous

x = 12, extraneous

x = - 12, non-extraneous

x = - 12, extraneous

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Answers (1)
  1. 28 August, 07:13
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    5 / (x+8) = 3/x

    Cross-multiplying:

    5x = 3 (x + 8)

    5x = 3x + 24

    2x = 24

    x = 12

    Substituting x = 12 into the given:

    5 / (12 + 8) = 3 / 12

    1 / 4 = 1 / 4

    No undefined values occurred, so x = 12 is non-extraneous, which is the first choice.
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