SOLUTION: Without solving, explain why the rational equation {{{x/(x - 3) = 3/(x - 3)}}} has no solution.

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Question 319728: Without solving, explain why the rational equation has no solution.
Found 2 solutions by jim_thompson5910, Edwin McCravy:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
The denominators are equal, so this means that the numerators must be equal. So x=3, but if x=3, then we have a division by zero. Since this isn't allowed, x=3 is NOT a solution. Since x=3 was the only possible solution, there are no solutions.
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!




Since their denominators are equal, their numerators
must be equal also, meaning the x on top on the left would 
have to equal the 3 on top on the right. But x can't equal
3 because that would make the denominators be 3-3 or 0, and
we cannot have 0 denominators. 

Edwin
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