SOLUTION: solve: x+1 over x+4 plus x-3 over x+5 equals 2x^2+6x+11 over x^2+9x+20 and 8 over 2m-4 plus 3 over 5m-10 equals 1 over 5

Algebra ->  Rational-functions -> SOLUTION: solve: x+1 over x+4 plus x-3 over x+5 equals 2x^2+6x+11 over x^2+9x+20 and 8 over 2m-4 plus 3 over 5m-10 equals 1 over 5      Log On


   



Question 101623: solve:
x+1 over x+4 plus x-3 over x+5 equals 2x^2+6x+11 over x^2+9x+20
and
8 over 2m-4 plus 3 over 5m-10 equals 1 over 5

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
1) Solve:
Add the fractions on the left side.
Expand the numerator and the denominator on the left side.
Multiply both sides by the denominator.
x%5E2%2B6x%2B5%2Bx%5E2%2Bx-12+=+2x%5E2%2B6x%2B11 Simplify the left side.
2x%5E2%2B7x-7+=+2x%5E2%2B6x%2B11 Subtract 2x%5E2from both sides.
7x-7+=+6x%2B11 Subtract 6x from both sides.
x-7+=+11 Add 7 to both sides.
x+=+18