Two mechanical gears are adjacent to each other. The larger gear is the prime mover for rotating the smaller gear. Find the coordinates of the points of intersection if their equations are x^2 + y^2 – 8x – 4y + 18 = 0 and x^2 + y^2 – 14x + 2y + 42 = 0. Find the point of intersection of the two mechanical gears.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.2: Solve Applications With Systems Of Equations
Problem 125E: Write a uniform motion problem similar to Example 4.15 that relates to where you live with your...
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Two mechanical gears are adjacent to each other. The larger gear is the prime mover for rotating the smaller gear. Find the coordinates of the points of intersection if their equations are x^2 + y^2 – 8x – 4y + 18 = 0 and x^2 + y^2 – 14x + 2y + 42 = 0. Find the point of intersection of the two mechanical gears.
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