SOLUTION: I am not understanding how to do this problem... Most I am getting however, this one is driving me tired... Please help and thank you!! (x-2)/(x-8)-1/x=(x-7)/x Please show m

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I am not understanding how to do this problem... Most I am getting however, this one is driving me tired... Please help and thank you!! (x-2)/(x-8)-1/x=(x-7)/x Please show m      Log On


   



Question 289411: I am not understanding how to do this problem... Most I am getting however, this one is driving me tired... Please help and thank you!!
(x-2)/(x-8)-1/x=(x-7)/x
Please show me how to work the problem... to get the correct answers...
Blessings & Miracles
Alberta...

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
[(x-2)/(x-8)]-[1/x] = [(x-7)/x]
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Multiply thru by x(x-8) to get rid of the denominators:
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x(x-2) - (x-8) = (x-8)(x-7)
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x^2 - 2x -x + 8 = x^2-15x+56
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-3x + 8 = -15x + 56
12x = 48
x = 4
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Cheers,
Stan H.
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