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6 6 systems of second degree equations

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This document discusses methods for solving systems of second-degree equations, including algebraic substitution or elimination methods and graphical methods. It provides 3 examples of solving systems of equations algebraically and graphically, including solving systems of quadratic equations and systems involving circles.

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6-6 Systems of Second-Degree Equations Objective: Solve such systems algebraically and graphically.
2 Methods 1. Algebraic Substitution or Elimination 2. Graphical
Example 1a: Solve the system xy = 6 and x2 + 4y2 = 64 algebraically.
6 6 systems of second degree equations
Example 1b: Solve the system xy = 6 and x2 + 4y2 = 64 graphically.
Example 2: Find the points of intersection of two circles with equations x2 + y2 = 20 and (x 5)2 + (y 5)2 = 10.
6 6 systems of second degree equations
Example 3: Solve the system 2x2 + y2 = 4 and x2 2y2 = 12.

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6 6 systems of second degree equations