2018 AMC 10A Problems/Problem 12

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How many ordered pairs of real numbers $(x,y)$ satisfy the following system of equations? x+3y=3||x||y||=1 $\textbf{(A) } 1 \qquad  \textbf{(B) } 2 \qquad  \textbf{(C) } 3 \qquad  \textbf{(D) } 4 \qquad  \textbf{(E) } 8$