# Thread: Solve for y given x...

1. ## Solve for y given x...

This is driving me nuts! How do I solve for y here?

x= (y-2)/(5y)

Solve for y. I can't figure out even the first step on how I would go about doing this.

Thanks!

2. Originally Posted by csburdick
This is driving me nuts! How do I solve for y here?

x= (y-2)/(5y)

Solve for y. I can't figure out even the first step on how I would go about doing this.

Thanks!
x(5y) = y - 2

5xy - y = -2

y(5x - 1) = -2

finish it ...

3. or

$\displaystyle x = \frac{y-2}{5y}$

$\displaystyle x= \frac{y}{5y}-\frac{2}{5y}$

$\displaystyle x= \frac{1}{5}-\frac{2}{5y}$

$\displaystyle x- \frac{1}{5}= \frac{2}{5y}$

finish it ...

4. Thanks so much! Makes sense now.