\(\frac{3}{5}x=\frac{2}{3}y\)suy ra : \(\frac{3x}{5.6}=\frac{2y}{3.6}\)hay \(\frac{x}{10}=\frac{y}{9}=k\)
Do đó : x = 10k ; y = 9k
Ta có : x2 - y2 = ( 10k )2 - ( 9k )2 = 19k2 = 38 ; k2 = 2 ; k = 2 hoặc k = -2
Suy ra : x = \(\mp10\sqrt{2}\); y = \(\mp9\sqrt{2}\)