已知：x+y/z=x+z/y=y+z/x（xyz≠0且x+y+z≠0）,求x+y+z/x+y+z的值

Question

已知：x+y/z=x+z/y=y+z/x（xyz≠0且x+y+z≠0）,求x+y+z/x+y+z的值

Answer 1

x+y/z=x+z/y=y+z/x
=（x+y+x+z+y+z）/(x+y+z)
=2(x+y+z)/(x+y+z)=2