Theo đề, ta có: \(5x=2y\Leftrightarrow x=\dfrac{2y}{5}\left(1\right)\)
Thế vào ta có:
\(xy-10=0\)
\(\dfrac{2y}{5}.y-10=0\)
\(2y^2=50\)
\(y^2=25\)
\(\Rightarrow y=\pm5\)
Khi \(y=5\Rightarrow x=2\)
Khi \(y=-5\Rightarrow x=-2\)
Ta có : \(5x=2y\Leftrightarrow x=\dfrac{2y}{5}\left(1\right)\)
Thay \(\left(1\right)\) vào \(xy-10=0\)
\(\Leftrightarrow\dfrac{2y^2}{5}-10=0\)
\(\Leftrightarrow\left[{}\begin{matrix}y=5\\y=-5\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-2\end{matrix}\right.\)