College Algebra Chapter 5 Systems of Equations and Inequalities

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Presentation transcript:

College Algebra Chapter 5 Systems of Equations and Inequalities Section 5.4 Systems of Nonlinear Equations in Two Variables

Concepts 1. Solve Nonlinear Systems of Equations by the Substitution Method 2. Solve Nonlinear Systems of Equations by the Addition Method 3. Use Nonlinear Systems of Equations to Solve Applications

Example 1: Solve by substitution:

Example 2: Solve by substitution:

Concepts 1. Solve Nonlinear Systems of Equations by the Substitution Method 2. Solve Nonlinear Systems of Equations by the Addition Method 3. Use Nonlinear Systems of Equations to Solve Applications

Example 3: Solve by addition:

Example 4: Solve by addition:

Concepts 1. Solve Nonlinear Systems of Equations by the Substitution Method 2. Solve Nonlinear Systems of Equations by the Addition Method 3. Use Nonlinear Systems of Equations to Solve Applications

Example 6: A right triangle has a hypotenuse measuring 13 inches and an area of 30 square inches. Find the length of each leg.