SOLUTION: Solve the following equation. 7/x - 1/x-3 = 9/x squared-3x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve the following equation. 7/x - 1/x-3 = 9/x squared-3x      Log On


   

Question 117330: Solve the following equation.
7/x - 1/x-3 = 9/x squared-3x
Answer by misscrt(37) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following equation.
7/x - 1/x-3 = 9/x squared-3x
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7%2Fx-1%2F%28x-3%29=9%2F%28x%5E2-3x%29
7%2Fx-1%2F%28x-3%29-9%2F%28x%5E2-3x%29=0
Find common denominator for each term to be x%28x-3%29:

7%28x-3%29%2Fx%28x-3%29-x%2Fx%28x-3%29-9%2F%28x%5E2-3x%29=0
%287%28x-3%29-x-9%29%2Fx%28x-3%29+=0
%287x-21-x-9%29%2Fx%28x-3%29+=o
%286x-30%29%2Fx%28x-3%29+=0%2F1
Now cross multiply.
%286x-30%29%281%29+=+0%28x%28x-3%29%29
6x-30=0
Add 30 to both sides.
6x-30%2B30=0%2B30
6x+=+30
Now divide 6 from both sides.
6x%2F6+=+30%2F6
x=5
Hope that helps.
misscrt