1. Chapter 5 Solving Systems of Linear Equations

2. Determine Whether a Given Ordered Pair is a Solution of a System Ex. 1

3. Solve a Linear System by Graphing Ex. 2 This is a consistent system.

4. Solve Linear System by Graphing when there is No Solution or an Infinite Number of Solutions Ex. 3

5. Dependent Systems Ex. 4 If the system has an infinite number of solutions, it is said to be dependent.

6. Without Graphing, Determine Whether a System Has No Solution, One Solution, or an Infinite Number of Solutions Ex, 5

7. Examples of Systems continued It is dependent.

8. Sect. 5.2 Solving Systems of Linear Equations by Substitution Ex. 1

9. Solving a System by Substitution

10. Solving a System by Substitution cont. 5. Check

11. Solving a System Containing Fractions Ex. 3

12. Solving a System Containing Fractions cont. 5. Check

13. Solve an Inconsistent or Dependent System by Substitution Ex. 4

14. Substitution with Dependent Systems Ex. 5

15. Sect. 5.3 Solve Systems by the Elimination Method Ex. 1

16. Another Example Using the Elimination Method Ex. 2 Solution is (5, -3)

17. Example Using Steps of Elimination Method Ex. 3

18. Using Steps of Elimination Method cont.

19. Solve Inconsistent or Dependent System Using Elimination Method Ex. 4

20. Dependent System and Elimination Method Ex. 5

21. Dependent System continued

22. Use Elimination Method Twice to Solve System Ex. 6

23. Use Elimination Twice cont.

24. Learn How to Recognize which Method, Elimination or Substitution is Best for a System

25. Learn How to Recognize Best Method cont.

27. Sect. 5.4 Applications of Systems of Two Equations Ex. 1

28. Applications of Systems continued

30. Problems Involving Geometry Ex. 2

31. Problems Involving Geometry continued

32. Problems Involving Cost Ex. 3

33. Cost Problem continued

34. Solve Mixture Problems Ex. 4

35. Mixture Problem continued

37. Rate, Time and Distance Problems Ex. 5

38. Rate, Time and Distance Problems cont.

39. Rate, Time and Distance Problems cont

40. Sect. 5.5 Systems of Linear Equations in Three Variables

41. Graphs of Different Types of Systems

42. Example of Linear System in Three Variables continued

43. Case 1 Solve System When Each Equation Contains Three Variables Ex. 1

44. Case 1 Solve System When Each Equation Contains Three Variables cont.

45. 6. Check. Answer is (-3, 4, 1)

46. Solve an Inconsistent or Dependent System of Three Equations in Three Variables Ex. 2

47. Solve an Inconsistent or Dependent System of Three Equations in Three Variables

48. Solve an Inconsistent or Dependent System of Three Equations in Three Variables Dependent Example Ex. 3

49. Case 2: Solve a System of Three Equations in Three Variables When at Least One Equation is Missing a Variable Ex. 4

50. Case 2: Solve a System of Three Equations in Three Variables When at Least One Equation is Missing a Variable cont.

51. Solve an Applied Problem Involving A system of Three Equations in Three Variables Ex. 5

52. Solve an Applied Problem Involving A system of Three Equations in Three Variables continued