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2017 AMC 10BProblem 10P1-10~3 minPrint
Coordinate GeometrySystems of EquationsSet up the equation/formula and compute; no special trick needed

The lines with equations ax−2y=cax-2y=c and 2x+by=−c2x+by=-c are perpendicular and intersect at (1,−5)(1, -5) . What is cc ?

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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.