Đặt \(\dfrac{x}{2}=\dfrac{y}{5}=k\) => \(\left\{{}\begin{matrix}x=2k\\y=5k\end{matrix}\right.\)
Thay vào , ta có :
x . y = 490
=> 2k . 5k = 490
=> 10 . k2 = 490
=> k2 = 49
=> k = 7 hoặc k = -7
=> \(\left\{{}\begin{matrix}k=7\\k=-7\end{matrix}\right.\)=> \(\left\{{}\begin{matrix}x=14;y=35\\x=-14;y=-35\end{matrix}\right.\)