# How do you solve for u in #y= (u+1)/(u+2)#?

##### 2 Answers

#### Answer:

#### Explanation:

Isolating

#### Answer:

#### Explanation:

Another (more difficult) method:

Rewrite

#y=(u+2-1)/(u+2)#

Split up the numerator.

#y=(u+2)/(u+2)-1/(u+2)#

#y=1-1/(u+2)#

Rearrange the terms.

#y-1=-1/(u+2)#

Multiply both sides by

#(y-1)(u+2)=-1#

Distribute the

#u(y-1)+2(y-1)=-1#

#u(y-1)+2y-2=-1#

#u(y-1)=-2y+1#

After this algebraic rearrangement, divide both sides by

#u=(-2y+1)/(y-1)#