SOLUTION: the denominator of a fraction exceeds the numerator by 1. If 4 is added to the numerator and 3 is subtracted from the denominator, the result is 7. Find the original fraction.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the denominator of a fraction exceeds the numerator by 1. If 4 is added to the numerator and 3 is subtracted from the denominator, the result is 7. Find the original fraction.       Log On


   

Question 87146: the denominator of a fraction exceeds the numerator by 1. If 4 is added to the numerator and 3 is subtracted from the denominator, the result is 7. Find the original fraction.
I'm getting x+4/(x+1)-3. Is this even right and if it is what do I do now?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
What you have done is correct so now you need to follow the diections in the problem which say -"...the result is 7" So...
%28x%2B4%29%2F%28%28x%2B1%29-3%29+=+7 Simplify.
%28x%2B4%29%2F%28x-2%29+=+7 Multiply both sides by (x-2)
x%2B4+=+7x-14 Subtract x from both sides.
4+=+6x-14 Add 14 to both sides.
18+=6x Finally, divide both sides by 6.
3+=+x
The original fraction is:
x%2F%28x%2B1%29+=+3%2F4