MathDB
Easy algebra

Source: Caucasus MO 2024, Seniors P5

March 13, 2024
algebra

Problem Statement

Let a,b,ca, b, c be reals and consider three lines y=ax+b,y=bx+c,y=cx+ay=ax+b, y=bx+c, y=cx+a. Two of these lines meet at a point with xx-coordinate 11. Show that the third one passes through a point with two integer coordinates.
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