Question 68
Let $x$ and $y$ be real numbers that satisfy the following system of equations:
$$
\left\{\begin{array}{l}
\frac{x}{x^{2} y^{2}-1}-\frac{1}{x}=4 \\
\frac{x^{2} y}{x^{2} y^{2}-1}+y=2
\end{array}\right.
$$
Find all possible values of the product $x y$.
$$
\left\{\begin{array}{l}
\frac{x}{x^{2} y^{2}-1}-\frac{1}{x}=4 \\
\frac{x^{2} y}{x^{2} y^{2}-1}+y=2
\end{array}\right.
$$
Find all possible values of the product $x y$.