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nignag [31]
4 years ago
14

Solve for z, z−a= z/b , if b≠1

Mathematics
1 answer:
romanna [79]4 years ago
3 0

Answer:

z=\frac{ba}{b-1}

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:

z-a=\frac{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.

<u>Distributive property:</u>  a(b - c) = ab - ac

So, lets solve:

z-a=\frac{z}{b}\\b(z-a)=z\\bz-ba=z\\bz-z=ba\\z(b-1)=ba\\z=\frac{ba}{b-1}

This is the expression for z.

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