已知x,y,z同时满足2x-3y=8,3y+2z=0,x-z=-2,试求xyz的值

问题描述:

已知x,y,z同时满足2x-3y=8,3y+2z=0,x-z=-2,试求xyz的值

2x-3y=8 (1)
3y+2z=0 (2)
x-z=-2 (3)
(1)+(2)
2x+2z=8
x+z=4 (4)
(3)+(4)
2x=2
x=1
z=4-x=3
y=-2z/3=-2
所以xyz=-6