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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Systems of Linear Equations and Inequalities

Learning Objectives


Chapter 8 - Systems of Linear Equations and Inequalities

  1. Solving a System by Graphing
  2. Independent, Inconsistent, and Dependent Equations
  3. Solving by Substitution
  4. Applications with Solving Systems by Graphing and Substitution
  5. The Addition Method
  6. Equations Involving Fractions or Decimals
  7. Applications with the Addition Method
  8. Linear Equations in Three Variables
  9. Solving a System by Elimination
  10. Graphs of Equations in Three Variables
  11. Applications with Systems of Linear Equations in Three Variables
  12. Matrices
  13. The Augmented Matrix
  14. The Gaussian Elimination Method
  15. Inconsistent and Dependent Equations
  16. Determinants
  17. Cramer's Rule (2 X 2)
  18. Minors
  19. Evaluating a 3 X 3 Determinant
  20. Cramer's Rule (3 X 3)
  21. Linear Inequalities in Two Variables
  22. Graph of a Linear Inequality
  23. Using a Test Point to Graph an Inequality
  24. Applications with Graphing Linear Inequalities in Two Variables
  25. The Solutions to a System of Inequalities
  26. Graphing a System of Inequalities
  27. Graphing the Constraints
  28. Maximizing or Minimizing a Linear Function