Đặt \(\dfrac{x}{-3}=\dfrac{y}{7}=k\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=-3k\\y=7k\end{matrix}\right.\)
Ta có: \(x^2-y^2=-160\)
\(\Leftrightarrow k^2=4\)
Trường hợp 1: k=2
\(\Leftrightarrow\left\{{}\begin{matrix}x=-3k=-6\\y=7k=14\end{matrix}\right.\)
Trường hợp 2: k=-2
\(\Leftrightarrow\left\{{}\begin{matrix}x=-3k=6\\y=7k=-14\end{matrix}\right.\)