3分之x+y=4分之y+z=5分之x+z,求xyx分之(x+y)(y+z)(x+z)

问题描述:

3分之x+y=4分之y+z=5分之x+z,求xyx分之(x+y)(y+z)(x+z)

令(x+y)/3=(y+z)/4=(x+z)/5=k
有:
x+y=3k
y+z=4k
x+z=5k
解得:x=2k,y=k,z=3k
所以:
(x+y)(y+z)(x+z)/(xyz)
=(3k×4k×5k)/(2k×k×3k)
=10请帮忙再看一下这道题x+y分之3=y+z分之4=x+z分之5,求(x+y)(y+z)(x+z)分之xyz