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|y-2x|=x <=> |mx + ny| = y (III Soros Olympiad 1996-97 R3 10.6)

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May 31, 2024
analytic geometryalgebra

Problem Statement

Find mm and nn such that the set of points whose coordinates xx and yy satisfy the equation ∣y−2x∣=x|y-2x|=x, coincides with the set of points specified by the equation ∣mx+ny∣=y|mx + ny| = y.
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