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2014 AMC 10B Problem 9

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2014 AMC 10B Problem 9AMC 10 Step by Step
Name:                             Date: September 13, 2026
Algebraic Manipulation · difficulty 2 of 5 · about 2 min · position P1-10

For real numbers ww and zz , 1w+1z1w−1z=2014.\frac{\frac{1}{w} + \frac{1}{z}}{\frac{1}{w} - \frac{1}{z}} = 2014. What is w+zw−z\frac{w+z}{w-z} ?

  1. A)

    −2014-2014

  2. B)

    −12014\frac{-1}{2014}

  3. C)

    12014\frac{1}{2014}

  4. D)

    11

  5. E)

    20142014

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