x+2y-3z=0,.(1)
3x-2y+z=0,.(2)
(1)*3-(2),得
8y-10z=0
8y=10z
y=(5/4)z
(1)+(2),得
4x-2z=0
4x=2z
x=(1/2)z
x：y：z
=(1/2)z:(5/4)z:z
=(1/2):(5/4):1
=2:5:4