SOLUTION: An integer minus 3 times its reciprocal equals 26/3. What is the integer? thank you

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Question 41031: An integer minus 3 times its reciprocal equals 26/3.
What is the integer?
thank you
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
(x - 3)(1/x) = 26/3
(x - 3)(1/x)3x = 26(3x)/3
3x - 9 = 26x
-9 = 23x
-9/23 = x
There are no integers that exists.