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

2. 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

3. Example 1:
Solve by substitution:

4. Example 2:
Solve by substitution:

7. 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

8. Example 3:
Solve by addition:

9. Example 4:
Solve by addition:

12. 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

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