SOLUTION: u ---------- =4 u+1 u - ------ 2 u/u-u+1/2=4 I am not sure if I wrote the equation correct so that is why I wrote it twice. Thanks for your help.

Algebra ->  Equations -> SOLUTION: u ---------- =4 u+1 u - ------ 2 u/u-u+1/2=4 I am not sure if I wrote the equation correct so that is why I wrote it twice. Thanks for your help.      Log On


   

Question 178402: u
---------- =4
u+1
u - ------
2
u/u-u+1/2=4
I am not sure if I wrote the equation correct so that is why I wrote it twice.
Thanks for your help.
April
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
u%2F%28u-%28%28u%2B1%29%29%2F2%29=4 Start with the given equation.


2u%2F%282u-%28u%2B1%29%29=4 Multiply EVERY term (except the terms in the parenthesis) on the left side by the inner LCD 2 to clear out the inner fraction %28%28u%2B1%29%29%2F2


2u%2F%282u-u-1%29=4 Distribute


2u%2F%28u-1%29=4 Combine like terms.


2u=4%28u-1%29 Multiply both sides by u-1


2u=4u-4 Distribute.


2u-4u=-4 Subtract 4u from both sides.


-2u=-4 Combine like terms on the left side.


u=%28-4%29%2F%28-2%29 Divide both sides by -2 to isolate u.


u=2 Reduce.


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Answer:

So the answer is u=2