How many ordered pairs of real numbers (x, y) satisfy the following system of equations?

\begin{array}{r} x+3 y=3 || x|-| y||=1 \end{array}

**Answer Choices**

A. 1

B. 2

C. 3

D. 4

E. 8

How many ordered pairs of real numbers (x, y) satisfy the following system of equations?

\begin{array}{r} x+3 y=3 || x|-| y||=1 \end{array}

**Answer Choices**

A. 1

B. 2

C. 3

D. 4

E. 8