Printable

2018 AMC 10A Problem 12

Include the solution Back to the problem

2018 AMC 10A Problem 12AMC 10 Step by Step

Name: Date: October 28, 2026

Absolute Value & Inequalities · difficulty 3 of 5 · about 5 min · position P11-15

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

A) $1$
B) $2$
C) $3$
D) $4$
E) $8$

2018 AMC 10A Problem 12

Working