Ta có 7x = 3y
=> x/3 = y/7
=> x/3 = y/7 = (x-y) / (3-7) = 16 / -4 = -4
=> x = -4.3 = -12
=> y = -4.7 = -28
Ta có : 5.x = 3.y
=. \(\dfrac{x}{3}=\dfrac{y}{5}\)( *)
Đặt (*) =k
=>\(\left\{{}\begin{matrix}x=3k\\y=5k\end{matrix}\right.\)
Mà x + y =16 , ta có :
3k + 5k = 16
=> 8. k=16
=> k =2
=> \(\left\{{}\begin{matrix}x=3.2\\y=5.2\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}x=6\\y=10\end{matrix}\right.\)