数学难题x,y,z都是正数,x+y-5z=0且x-y+z=0,那么求(x^-y^)/(z^-x^)的值

Question

数学难题
x,y,z都是正数,x+y-5z=0且x-y+z=0,那么求(x^-y^)/(z^-x^)的值

Answer 1

x+y=5z
x-y=-z
解得：x=2z,y=3z
(x^-y^)/(z^-x^)=(4z^-9z^)/(z^-4z^)=5/3