530 Chapter 9Solving Quadratic EquationsExercises9.6Dynamic Solutionsavailable at BigIdeasMath.com 1. VOCABULARY Describe how to use substitution to solve a system of nonlinear equations. 2. WRITING How is solving a system of nonlinear equations similar to solving a system of linear equations? How is it different?Vocabulary and Core Concept CheckVocabularyand Core ConceptCheckIn Exercises 3–6, match the system of equations with its graph. Then solve the system.3. y x2 2x + 1 4. y x2 + 3x + 2y x + 1 y x 35. y x 1 6. y x + 3y x2 + x 1 y x2 2x + 5A. 152xy2 B. y24x4C. y242x24 D. xy2441In Exercises 7–12, solve the system by graphing. (See Example 1.)7.y 3x2 2x + 1 8. y x2 + 2x + 5 y x + 7 y 2x 5 9. y 2x2 4x 10. y 1 — 2 x2 3x + 4 y 2 y x 211.y 1 — 3 x2 + 2x 3 12. y 4x2 + 5x 7 y 2x y 3x + 5In Exercises 13–18, solve the system by substitution. (See Example 2.)13.y x 5 14. y 3x2 y x2 + 4x 5 y 6x + 3 15.y x + 7 16. y x2 + 7y x2 2x 1 y 2x + 417.y 5 x2 18. y 2x2 + 3x 4y 5 y 4x 2In Exercises 19–26, solve the system by elimination. (See Example 3.)19. y x2 5x 7 20. y 3x2 + x + 2 y 5x + 9 y x + 421. y x2 2x + 2 22. y 2x2 + x 3 y 4x + 2 y 2x 223. y 2x 1 24. y x2 + x + 1 y x2 y x 225. y + 2x 0 26. y 2x 7 y x2 + 4x 6 y + 5x x2 2 27. ERROR ANALYSIS Describe and correct the error in solving the system of equations by graphing.y = x2 − 3x 4y = 2x 4The only solution of the system is (0, 4).✗
24x24yMonitoring Progress and Modeling with MathematicsMonitoring Progress and Modeling with Mathematics