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# For which values of does the equation have no solution for ? Enter all the possible values of ​ separated by commas.

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For which values of $$k$$ does the equation $$\frac{x-1}{x-2} = \frac{x-k}{x-6}$$ have no solution for $$x$$? Enter all the possible values of $$k,$$ separated by commas.

Nov 23, 2019

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You can see straight off that x cannot be 2 or 6.

Now just for the moment you can ignore that.

Try solving for x in terms of k and see what happens.   The answer will present itself.