SOLUTION: Please help me solve this equation: {{{1/(x-1)+5=11/(x-1)}}}. i have tried it several times and can not seem to up with the answer that is in the back of the book. i am missing a

Algebra ->  Linear-equations -> SOLUTION: Please help me solve this equation: {{{1/(x-1)+5=11/(x-1)}}}. i have tried it several times and can not seem to up with the answer that is in the back of the book. i am missing a       Log On


   



Question 25165: Please help me solve this equation: 1%2F%28x-1%29%2B5=11%2F%28x-1%29. i have tried it several times and can not seem to up with the answer that is in the back of the book. i am missing a step somewhere along the line. i have repeated came up with the answer as x=-1.
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28x-1%29%2B5=11%2F%28x-1%29

There are a couple of ways to do this. Probably best is to multiply both sides by the LCD which is (x-1). This is valid, provided that x does NOT equal 1, because that would make the denominator zero, which is NEVER allowed!

%28x-1%29+%2A%281%2F%28x-1%29%29%2B5%2A%28x-1%29+=%28x-1%29%2A11%2F%28x-1%29%29
1+%2B+5x-5+=+11
5x+-4+=+11
5x+=+15
x=3

Check:
1%2F%283-1%29+%2B+5+=+11%2F%283-1%29
1%2F2+%2B+5+=+11%2F2
True! It checks!!

R^2 at SCC