1. College Algebra Chapter 5 Systems of Equations and Inequalities
Section 5.4
Systems of Nonlinear Equations in Two Variables
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2. Concepts
Solve Nonlinear Systems of Equations by the Substitution Method
Solve Nonlinear Systems of Equations by the Addition Method
Use Nonlinear Systems of Equations to Solve Applications

3. Concept 1 Solve Nonlinear Systems of Equations by the Substitution Method

4. Example 1
Solve by substitution:

5. Example 2
Solve by substitution:

6. Skill Practice 1
Solve by system by using the substitution method.

7. Skill Practice 2
Solve by system by using the substitution method.

8. Concept 2 Solve Nonlinear Systems of Equations by the Addition Method

9. Example 3
Solve by addition:

10. Example 4
Solve by addition:

11. Example 5
Solve by addition:

12. Skill Practice 3
Solve by system by using the addition method.

13. Skill Practice 4
Solve by system by using the addition method.

14. Concept 3 Use Nonlinear Systems of Equations to Solve Applications

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

16. Skill Practice 5
The perimeter of a rectangular rug is 40 feet and the area is
Find the dimensions of the rug.