SOLUTION: Solve for "u" {{{1/u + 5/(u-2) = 4/(u-2)}}} So far I know I have to find a common denominator so I multiply by "u" or "u-2" and I have 1(u-2)/u(u-2) + 5u/u(u-2)=4u/u(u-2) bu

Algebra ->  Expressions-with-variables -> SOLUTION: Solve for "u" {{{1/u + 5/(u-2) = 4/(u-2)}}} So far I know I have to find a common denominator so I multiply by "u" or "u-2" and I have 1(u-2)/u(u-2) + 5u/u(u-2)=4u/u(u-2) bu      Log On


   



Question 152602: Solve for "u"
1%2Fu+%2B+5%2F%28u-2%29+=+4%2F%28u-2%29
So far I know I have to find a common denominator so I multiply by "u" or "u-2" and I have 1(u-2)/u(u-2) + 5u/u(u-2)=4u/u(u-2) but then I end up with a bunch of u^2 and I am not sure what to do.
Thanks so much

Answer by mducky2(62) About Me  (Show Source):
You can put this solution on YOUR website!
You're definitely on the right track. But you don't even need to leave any denominators when you solve the problem:
1%2Fu+%2B+5%2F%28u-2%29+=+4%2F%28u-2%29

Just multiply each side by u%28u-2%29
u%28u-2%29%281%2Fu%29+%2B+u%28u-2%29%285%2F%28u-2%29%29+=+u%28u-2%29%284%2F%28u-2%29%29

%28u-2%29%2B5u+=+4u
6u+-+2+=+4u
2u+-+2+=+0
2u+=+2
u+=+1