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2002 AMC 10BProblem 12P11-15~3 minPrint
Linear Equations & Word ProblemsUse the answer choices (mod checks, size, form) to eliminate or selectSet up the equation/formula and compute; no special trick needed

For which of the following values of kk does the equation x−1x−2=x−kx−6\frac{x-1}{x-2} = \frac{x-k}{x-6} have no solution for xx ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.