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2018 AMC 10A Problem 12

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2018 AMC 10A Problem 12AMC 10 Step by Step
Name:                             Date: September 13, 2026
Absolute Value & Inequalities · difficulty 3 of 5 · about 5 min · position P11-15

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

  1. A)

    11

  2. B)

    22

  3. C)

    33

  4. D)

    44

  5. E)

    88

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