SOLUTION: Solve the rational equation x/x+3 + 1/x-3=1

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Question 416397: Solve the rational equation
x/x+3 + 1/x-3=1
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Solving for x

x%2F%28x%2B3%29+%2B+1%2F%28x-3%29+=+1   |Multiplying thru  with  (x+3)(x-3)

    x(x-3)  + (x+3) = (x+3)(x-3)

     x^2 -2x + 3 = x^2 -9

          -2x = -12     |combining Like terms

            x = 6

CHECKING our Answer***

   6/9 + 1/3  = 6/9 + 3/9 = 1