已知x/2=y/3=z/4,且xyz≠0,求2x+3y−zx−3y+z的值.

问题描述:

已知

x
2
=
y
3
=
z
4
,且xyz≠0,求
2x+3y−z
x−3y+z
的值.

x
2
=
y
3
=
z
4
=k(k≠0),
则x=2k,y=3k,z=4k,
所以,
2x+3y−z
x−3y+z
=
2•2k+3•3k−4k
2k−3•3k+4k
=
9k
−3k
=-3.