若x/3=y/4=z/5,则-x+y/x+2y+3z=_.

问题描述:

x
3
=
y
4
=
z
5
,则
-x+y
x+2y+3z
=______.

x
3
=
y
4
=
z
5
=k,
则x=3k,y=4k,z=5k,
所以
-x+y
x+2y+3z
=
-3k+4k
3k+2×4k+3×5k
=
1
26

故答案为:
1
26