SOLUTION: I would like some help on thsi problem please: x 5 ----- +1 = ----- x-5 x-5 Thank you for your help!! I believe this problem there is no solution but if

Algebra ->  Equations -> SOLUTION: I would like some help on thsi problem please: x 5 ----- +1 = ----- x-5 x-5 Thank you for your help!! I believe this problem there is no solution but if      Log On


   

Question 66677: I would like some help on thsi problem please:
x 5
----- +1 = -----
x-5 x-5
Thank you for your help!!
I believe this problem there is no solution but if there is it could only be:
5
-5
or no solution
Thank you again!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
x%2F%28x-5%29+%2B+1+=+5%2F%28x-5%29 Add the fractions on the left side.
%28x%2B%28x-5%29%29%2F%28x-5%29+=+5%2F%28x-5%29 Multiply both sides by (x-5) and simplify.
2x-5+=+5 Add 5 to both sides.
2x+=+10 Divide both sides by 2.
x+=+5
Check:
5%2F%285-5%29+%2B+1+=+5%2F%285-5%29
5%2F0+%2B+1+=+5%2F0 Well, as you can see, although you get x=5 as a solution, it clearly is not a solution because you end up with division by zero and this is not defined in math.
So there is no solution to this problem, which simply means that there is no value of x that will satisfy this equation!