Section 3.2 Solving Systems of Linear Equations by the Substitution Method 251 Section 3.2 Practice Exercises Review Exercises For Exercises 1–4, use the slope-intercept form of the lines to determine the number of solutions to the system. 1. 2. 3. 4. y 8x 1 4x 6y 1 2x 4y 0 6x 3y 8 10x 15y x 2y 9 8x 4y 1 For Exercises 6–7, solve the system by graphing. 6. 7. x y 4 y 2x 3 5 3x 4y 12 4 6x 3y 9 3 2 1 21 543 1 2 3 4 5 1 2 3 4 5 x y Concept 1: The Substitution Method For Exercises 8–21, solve by using the substitution method. (See Examples 1–2.) 8. 9. 10. y 3x 1 2x 3y 8 4x 12y 4 y 5x 11 11. 12. 13. 12x 2y 0 7x y 1 3x 8y 1 4x 11 y 14. 15. 16. x y 8 3x 2y 9 x 3y 3 2x 3y 6 17. 18. 19. 2x y 1 y 2x 2x 3y 7 5x 2y 12 20. 21. 1 3y 10 5x 2y 6 4x 5y 14 3y x 7 5 3 2 1 21 543 1 3 4 5 1 10y 34 x 7x y 31 3x 12y 36 x 5y 12 5x 2y 10 y x 1 2x 3 7 3x 4y 6 22. Describe the process of solving a system of linear equations by using substitution. 2 3 4 5 x y 2 4 5. Determine if the ordered pair (4, 3) is a solution to the system. x 2y 10 2x y 11 5 2 2x 16y 3
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