Question: Solving function to vo/vs

Hi 

I have 3 equations

eq1 := vs = (Rs+Z)*i1+Z*i3

eq2 := A*vi = Z*i1+(Z+Rf+ro)*i3

eq3:= vo = (Rf+Z)*i3+Z*i1

 

and I want to solve for vo/vs . How to do that ?

the expected solution is 

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