已知4x-3y+z=0,x+2y-8z=0,xyz不等于0,求x+y-z/x-y+2z的值

问题描述:

已知4x-3y+z=0,x+2y-8z=0,xyz不等于0,求x+y-z/x-y+2z的值

4x-3y+z=0 (1)
x+2y-8z=0 (2)
(1)-(2)×4得
-11y+33z=0
∴y=3z
把y=3z代入(2)得
x=2z
把x=2z,y=3z代入x+y-z/x-y+2z得
原式=(2z+3z-z)/(2z-3z+2z)
=4z/z
=4