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27 September, 00:13

For which values of p and q does the following equation have infinitely many solutions?

PX + Q = 46x + 23

A) p = 46 & q = 23

B) p = - 46 & q = 23

C) p=-46 & q = - 23

D) p = 46 & q = - 23

(Select all that may apply)

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Answers (1)
  1. 27 September, 03:57
    0
    The equation:

    p x + q = 46 x + 23

    p x - 46 x = 23 - q

    x (p - 46) = 23 - q

    x = (23 - q) / (p - 46)

    This equation has infinitely many solutions for:

    23 - q = 0 and p - 46 = 0

    or: q = 23 and p = 46

    Answer : A) p = 46 & q = 23
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