Question 14
How many ordered pairs $(x, y)$ of real numbers satisfy the following system of equations?
$$
\begin{aligned}
x^2 + 3y &= 9 \\
(|x| + |y| - 4)^2 &= 1
\end{aligned}
$$
$$
\begin{aligned}
x^2 + 3y &= 9 \\
(|x| + |y| - 4)^2 &= 1
\end{aligned}
$$