方程组:x-2y+4z=0,2x+3y-3z=0...xyz不等于0,求(2x+y-z)\(2x-y+z)
问题描述:
方程组:x-2y+4z=0,2x+3y-3z=0...xyz不等于0,求(2x+y-z)\(2x-y+z)
答
由 2x+3y-3z=0 得:z-y=2x/3
(2x+y-z)/(2x-y+z)
=(2x-(z-y))/(2x+(z-y))
将 z-y=2x/3代入上式得:
(2x+y-z)/(2x-y+z)
=(2x-(2x/3))/(2x+(2x/3))
=(1-1/3)/(1+1/3)
=1/2
=0.5