SOLUTION: 5 1 ____ + ___ =0 2X+3 X-6 SOLVE 5 OVER 2X+3 + 1 OVER X-6 = 0 THANK YOU CAROL

Algebra ->  Expressions-with-variables -> SOLUTION: 5 1 ____ + ___ =0 2X+3 X-6 SOLVE 5 OVER 2X+3 + 1 OVER X-6 = 0 THANK YOU CAROL      Log On


   

Question 71148: 5 1
____ + ___ =0
2X+3 X-6
SOLVE 5 OVER 2X+3 + 1 OVER X-6 = 0
THANK YOU
CAROL
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
5%2F%282x%2B3%29+%2B+1%2F%28x-6%29+=+0 Add the two fractions on the left side. The common denominator is :%282x%2B3%29%2A%28x-6%29
Multiply the first fraction by %28x-6%29%2F%28x-6%29 and the second fraction by: %282x%2B3%29%2F%282x%2B3%29
%285%28x-6%29%2B%282x%2B3%29%29%2F%28%282x%2B3%29%2A%28x-6%29%29+=+0 Now multiply both sides by %282x%2B3%29%2A%28x-6%29
5%28x-6%29%2B%282x%2B3%29+=+0 Simplify.
5x-30%2B2x%2B3+=+0
7x-27+=+0 Add 27 to both sides.
7x+=+27 Divide both sides by 7.
x+=+27%2F7 or x = 3 6/7