Answer:
[tex]z=\frac{ba}{b-1}[/tex]
Step-by-step explanation:
There are no numbers, only variables. So solving for "z" would mean we get an expression for z.
The equation given is:
[tex]z-a=\frac{z}{b}[/tex]
We will cross multiply and use distributive property (shown below) to do our algebra and come up with an expression for z, in terms of a and b.
Distributive property: a(b - c) = ab - ac
So, lets solve:
[tex]z-a=\frac{z}{b}\\b(z-a)=z\\bz-ba=z\\bz-z=ba\\z(b-1)=ba\\z=\frac{ba}{b-1}[/tex]
This is the expression for z.
