4x-3y-3z=0,
x-3y-z=0(xyz≠0)
4x-3y=3z
x-3y=z
x=2z/3,y=-z/9
(xy+2yz)/(x²+y²-z²)
=(-2z²/27-2z/9)/(4z²/9+z²/81-z²)
=6/11