由题:
x-2y+3z=0.(1)
2x-3y+4z=0.(2)
(1)*2 2x-4y+6z=0.(3)
(2)-(3) y-2z=0 于是y=2z.(4)
将(4)代入(1) x-4z+3z=0所以x=z
于是x:y:z=z:2z:z=1:2:1
由题:
x-2y+3z=0.(1)
2x-3y+4z=0.(2)
(1)*2 2x-4y+6z=0.(3)
(2)-(3) y-2z=0 于是y=2z.(4)
将(4)代入(1) x-4z+3z=0所以x=z
于是x:y:z=z:2z:z=1:2:1