已知x,y,z,满足2/x=3/(y-z)=5/(z+x),则(5x-y)/(y+2z)的值为多少?

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/27 19:05:13

已知x,y,z,满足2/x=3/(y-z)=5/(z+x),则(5x-y)/(y+2z)的值为多少?
已知x,y,z,满足2/x=3/(y-z)=5/(z+x),则(5x-y)/(y+2z)的值为多少?

已知x,y,z,满足2/x=3/(y-z)=5/(z+x),则(5x-y)/(y+2z)的值为多少?
2/x=3/(y-z)=5/(z+x),
则x/2=(y-z)/3=(z+x)/5,
设x/2=(y-z)/3=(z+x)/5=k

x=2k
y-z=3k
z+x=5k
解得:
x=2k
y=6k
z=3k
(5x-y)/(y+2z)
=(5*2k-6k)/(6k+2*3k)
=1/3