Solving for x in y = (x+4)/(x+3): Is it Possible?

[JKaufinger]

Homework Statement

How would you solve for x in y = (x+4)/(x+3)

Homework Equations

The Attempt at a Solution

y(x+3) = (x+4)
xy+3y=x+4
-x+xy+3y=4
x-xy-3y=-4

... That is the closest to anything familiar I could come.

This isn't really a homework question but how would you do this? Is it even possible?

 

[hokie1]

Well you can continue as follows:
x-xy=3y-4
x=(3y-4)/(1-y)

 

[JKaufinger]

Wow... I can't believe that it was a simple 2 steps from there. I just seem to have a problem with solving for x when it is in a numerator and denominator (I had another problem like this and someone else had to figure it out for me)

lol

thanks