已知方程组x-3y-2z=0 2x-y+z=0 且xyz≠0,求x:y:z

问题描述:

已知方程组x-3y-2z=0 2x-y+z=0 且xyz≠0,求x:y:z

x-3y-2z=0 (1)
2x-y+z=0 (2)
(1)+(2)*2,得到:
5x-5y=0
x=y
代入(2)得到:
z=y-2x=y-2y=-y
所以
x:y:z=1:1:-1