SOLUTION: Solve the following equations and inequality for x. If the solution is extraneous, please state that it is. Please show me all work for a better understanding. c-1/x + d = cd Sol

Algebra ->  Inequalities -> SOLUTION: Solve the following equations and inequality for x. If the solution is extraneous, please state that it is. Please show me all work for a better understanding. c-1/x + d = cd Sol      Log On


   



Question 1068495: Solve the following equations and inequality for x. If the solution is extraneous, please state that it is. Please show me all work for a better understanding.
c-1/x + d = cd
Solve for x.
Note: c-1 is the whole numerator and is part of the first fraction. All of it is over x. The problem is not c - 1/x.
Thank you kindly.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
( (c-1)/x) + d = cd
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Note we assume x is not = 0
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subtract d from both sides of =
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(c-1)/x = (cd -d) / 1
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cross multiply fractions
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x(cd -d) = (c-1)
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x = (c-1) / (d(c-1)) = (1/d)
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Note we assume d is not = 0
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