Math Problem Statement

solve and only give direct answer no explanation

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?

Solution

The correct answer is:

B) 45\frac{4}{5}

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Coordinate Geometry
Systems of Equations

Formulas

y = mx + b
Substitution method for solving systems of equations

Theorems

Slope-Intercept Form

Suitable Grade Level

Grades 9-11

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