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In the xy-plane, the point (p, r) lies on the line with equation y = x + b, where b is a constant. The point with coordinates (2p, 5r) lies on the line with equation y = 2x + b. If p ≠ 0, what is the value of r/p?

This problem involves solving for r/p using a system of linear equations in the xy-plane. The points (p, r) and (2p, 5r) are used with equations y = x + b and y = 2x + b, respectively. This problem covers core geometry concepts and is suitable for students in Grades 9-11.

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