Đặt \(\dfrac{x}{3}=\dfrac{y}{2}=k\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=3k\\y=2k\end{matrix}\right.\)
Ta có: \(x^2y^2=96\)
\(\Leftrightarrow6k^2=96\)
\(\Leftrightarrow k^2=16\)
Trường hợp 1: k=4
\(\Leftrightarrow\left\{{}\begin{matrix}x=3k=12\\y=2k=8\end{matrix}\right.\)
Trường hợp 2: k=-4
\(\Leftrightarrow\left\{{}\begin{matrix}x=3k=-12\\y=2k=-8\end{matrix}\right.\)