4x-5y+2z=0 ①
x+4y-3z=0 ②
由①+②得:5x-(y+z)=0 5x=y+z
由②*4-①得:21y-14z=0 y=2z/3 5x=2z/3+z=5z/3 x=z/3
x:y=(z/3):(2z/3)=1/2
y:z=(2z/3):z=2/3
x:y:z=1:2:3
4x-5y+2z=0 ①
x+4y-3z=0 ②
由①+②得:5x-(y+z)=0 5x=y+z
由②*4-①得:21y-14z=0 y=2z/3 5x=2z/3+z=5z/3 x=z/3
x:y=(z/3):(2z/3)=1/2
y:z=(2z/3):z=2/3
x:y:z=1:2:3