This document discusses solving nonlinear systems of equations. It covers solving systems by substitution, elimination, and a combination of methods. The objectives are to solve nonlinear systems using substitution, elimination of two second-degree equations, and a mixed approach. Examples are provided to demonstrate each technique.

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Sec 12.4 - 1

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Sec 12.4 - 2
Nonlinear Functions,
Conic Sections,
and Nonlinear Systems
Chapter 12

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Sec 12.4 - 3
12.4
Nonlinear Systems of Equations

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12.4 Nonlinear Systems of Equations
Objectives
1. Solve a nonlinear system by substitution.
2. Use the elimination method to solve a
system with two second-degree equations.
3. Solve a system that requires a
combination of methods.

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12.4 Nonlinear Systems of Equations
Solving Nonlinear Systems of Equations

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12.4 Nonlinear Systems of Equations
Solving Nonlinear Systems of Equations

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12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by Substitution

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12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by Substitution

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12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by Substitution

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12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by Substitution

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12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by Elimination

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12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by Elimination

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12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by Elimination

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12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by Elimination

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12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by Elimination

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12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by a Combination of Methods

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12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by a Combination of Methods

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12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by a Combination of Methods

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12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by a Combination of Methods

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12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by a Combination of Methods

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12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by a Combination of Methods

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12.4 Nonlinear Systems of Equations
Solve a Nonlinear System by a Combination of Methods