AMC 12 2018a Problem 10

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