Question

Solve for z, z−a= z/b , if b≠1

Answer 1

`z=(ba)/(b-1)`

Explanation:

There are no numbers, only variables. So solving for "z" would mean we get an expression for z.

The equation given is:

`z-a=(z)/(b)`

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:

`z-a=(z)/(b)\\b(z-a)=z\\bz-ba=z\\bz-z=ba\\z(b-1)=ba\\z=(ba)/(b-1)`

This is the expression for z.