Question

Za = a + b/m, solve for a

Answer 1

Answer:
`a=(b)/(zm-1)`

Explanation:

Let's first multiply both sides by m to get rid of the denominator.

`za=(a+b)/(m)\\zam=a+b`

Now, we have an a on both sides of the equation. It will be easier to solve if there is only one, so let's divide both sides by a.

`(zam)/(a)=(a+b)/(a)\\zm=(a)/(a)+(b)/(a)\\zm=1+(b)/(a)`

The 1 on the right can be moved to the left to isolate the fraction.

`zm-1=(b)/(a)`

We want to get a by itself, so let's multiply it on both sides to remove it from the denominator.

`a(zm-1)=b`

Finally, we can divide zm-1 from both sides to get a by itself.

`a=(b)/(zm-1)`