Question 36
Find all pairs of real numbers $x$ and $y$ that solve the system of equations
$$
\begin{aligned}
\frac{3}{x-4y} + \frac{2}{x+y-5} &= 0 \\
\frac{2}{x^2-4y^2} + \frac{1}{x^2+y^2-5} &= 0
\end{aligned}
$$
$$
\begin{aligned}
\frac{3}{x-4y} + \frac{2}{x+y-5} &= 0 \\
\frac{2}{x^2-4y^2} + \frac{1}{x^2+y^2-5} &= 0
\end{aligned}
$$