Question 66
Find all pairs of real numbers $x$ and $y$ that solve the system of equations
$$
\begin{aligned}
& \log_{3} x^{2} + \log_{2} y^{3} = 1 \\
& \log_{9} x^{4} + \log_{4} y^{9} = 2
\end{aligned}
$$
$$
\begin{aligned}
& \log_{3} x^{2} + \log_{2} y^{3} = 1 \\
& \log_{9} x^{4} + \log_{4} y^{9} = 2
\end{aligned}
$$