若x/2=y/3=z/4≠0,求x-y-z / 3x+2y-z 的值.

问题描述:

若x/2=y/3=z/4≠0,求x-y-z / 3x+2y-z 的值.

由题 可设 x/2=y/3=z/4=R ≠0 ,
则 x=2R,y=3R,z=4R,
所以
(x-y-z) / (3x+2y-z)
=(2R-3R-4R) / (3*2R+2*3R-4R)
=(-5R) / (8R)
=-5/8