\(\Rightarrow\dfrac{x}{2}=\dfrac{y}{3}\Rightarrow\dfrac{x^2}{4}=\dfrac{y^2}{9}=\dfrac{x^2+y^2}{4+9}=\dfrac{13}{13}=1\\ \Rightarrow\left\{{}\begin{matrix}x^2=4\\y^2=9\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=\pm2\\y=\pm3\end{matrix}\right.\)