# Thread: solving for x with two variables

1. ## solving for x with two variables

Hello,

I want to solve for x:

y = (3x+2)/(2x-5)

I tried to cross multiply but still could not separate the x from the y term?

Thank you.

2. Originally Posted by 2clients
Hello,

I want to solve for x:

y = (3x+2)/(2x-5)

I tried to cross multiply but still could not separate the x from the y term?

Thank you.
When you cross multiply, you should get the expression $\displaystyle (2x-5)y=3x+2$

This implies that $\displaystyle 2xy-5y=3x+2\implies 2xy-3x=2+5y$

Now we can pull out a common factor of x on the left side.

$\displaystyle (2y-3)x=5y+2$

I'm sure you can take it from here.

--Chris