Algebra 1 Notes Lesson 7-2 Substitution

1. Algebra 1 Notes Lesson 7-2 Substitution

2. Mathematics Standards • Patterns, Functions and Algebra: Solve real-world problems that can be modeled using linear, quadratic, exponential or square root functions. • Patterns, Functions and Algebra: Solve and interpret the meaning of 2 by 2 systems of linear equations graphically, by substitution and by elimination, with and without technology. • Patterns, Functions and Algebra: Solve real world problems that can be modeled using systems of linear equations and inequalities.

3. Vocabulary • Substitution – Second method for solving systems of equations. • (First method was graphing)

4. Vocabulary • Substitution • Solve one equation for one variable (BE SMART) • Substitute for that variable in the other equation.

5. Example 1 Use substitution to solve the system of equations. x = 4y 4x – y = 75

6. Example 1 Use substitution to solve the system of equations. x = 4y 4x – y = 75

7. Example 1 Use substitution to solve the system of equations. x = 4y 4x – y = 75

8. Example 1 Use substitution to solve the system of equations. x = 4y4(4y) – y = 75 4x – y = 75

9. Example 1 Use substitution to solve the system of equations. x = 4y 4(4y) – y = 75 4x – y = 75

10. Example 1 Use substitution to solve the system of equations. x = 4y 4(4y) – y = 75 4x – y = 75 16y – y = 75 15y = 75 15 15 y = 5

11. Example 1 Use substitution to solve the system of equations. x = 4y4(4y) – y = 75 4x – y = 75 16y – y = 75 15y = 75 15 15 y = 5

12. Example 1 Use substitution to solve the system of equations. x = 4y 4(4y) – y = 75 4x – y = 75 16y – y = 75 15y = 75 x = 4y 15 15 y = 5

13. Example 1 Use substitution to solve the system of equations. x = 4y 4(4y) – y = 75 4x – y = 75 16y – y = 75 15y = 75 x = 4y = 4(5) 15 15 y = 5

14. Example 1 Use substitution to solve the system of equations. x = 4y 4(4y) – y = 75 4x – y = 75 16y – y = 75 15y = 75 x = 4y = 4(5) 15 15 x = 20 y = 5

15. Example 1 Use substitution to solve the system of equations. x = 4y 4(4y) – y = 75 4x – y = 75 16y – y = 75 15y = 75 x = 4y = 4(5) 15 15 x = 20 (20, 5)y = 5

16. Example 2 Use substitution to solve the system of equations.(Be smart – what to solve for) 2x + 2y = 8 x + y = -2 – x – x y = -2 – x

17. Example 2 Use substitution to solve the system of equations. 2x + 2y = 8 x + y = -2 – x – x y = -2 – x

18. Example 2 Use substitution to solve the system of equations. 2x + 2y = 8 x + y = -2 – x – x y = -2 – x

19. Example 2 Use substitution to solve the system of equations. 2x + 2y = 82x + 2(-2 – x) = 8 x + y = -2 – x – x y = -2 – x

20. Example 2 Use substitution to solve the system of equations. 2x + 2y = 82x + 2(-2 – x) = 8 x + y = -2 – x – x y = -2 – x

21. Example 2 Use substitution to solve the system of equations. 2x + 2y = 82x + 2(-2 – x) = 8 x + y = -2 2x – 4 – 2x = 8 – x – x y = -2 – x

22. Example 2 Use substitution to solve the system of equations. 2x + 2y = 82x + 2(-2 – x) = 8 x + y = -2 2x – 4 – 2x = 8 – x – x y = -2 – x

23. Example 2 Use substitution to solve the system of equations. 2x + 2y = 82x + 2(-2 – x) = 8 x + y = -2 2x – 4 – 2x = 8 – x – x -4 = 8 y = -2 – x

24. Example 2 Use substitution to solve the system of equations. 2x + 2y = 82x + 2(-2 – x) = 8 x + y = -2 2x – 4 – 2x = 8 – x – x -4 = 8 y = -2 – xNo Solution

25. Homework Pgs. 379 12 – 28 (evens) 50 – 53 (all)