# Math Help - Solving for z

1. ## Solving for z

I have forgotten the easiest way to do this. I need to solve for z: (3) / (z - 3) + (5) / (z - 1) = (8) / (z - 2) Thanks as always for your help!

2. Originally Posted by jay1
I have forgotten the easiest way to do this. I need to solve for z: (3) / (z - 3) + (5) / (z - 1) = (8) / (z - 2) Thanks as always for your help!
Write everything with a common denominator.

3. Originally Posted by jay1
I have forgotten the easiest way to do this. I need to solve for z: (3) / (z - 3) + (5) / (z - 1) = (8) / (z - 2) Thanks as always for your help!
Multiply both sides of the equation by the LCD: In this case, it is

$(z-1)(z-2)(z-3)$

4. Originally Posted by vonnemo19
multiply both sides of the equation by the lcd: In this case, it is

$(z-1)(z-2)(z-3)$
z = 6?

5. Originally Posted by jay1
z = 6?
Correct.

6. Originally Posted by jay1
z = 6?
Well, Lets see what happens when we plug it back in

$\frac{3}{6-3}+\frac5{6-1}=\frac8{6-2}$

Is $1+1\neq2$?