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2021 AMC Fall 10A Problem 14

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2021 AMC Fall 10A Problem 14AMC 10 Step by Step
Name:                             Date: September 13, 2026
Absolute Value & Inequalities · difficulty 3 of 5 · about 6 min · position P11-15

How many ordered pairs (x,y)(x,y) of real numbers satisfy the following system of equations? \begin{align} x^2+3y&=9 \\ (|x|+|y|-4)^2 &= 1 \end{align}

  1. A)

    11

  2. B)

    22

  3. C)

    33

  4. D)

    55

  5. E)

    77

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