| 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- Solving a System by Graphing
- Independent, Inconsistent, and Dependent Equations
- Solving by Substitution
- Applications with Solving Systems by Graphing and Substitution
- The Addition Method
- Equations Involving Fractions or Decimals
- Applications with the Addition Method
- Linear Equations in Three Variables
- Solving a System by Elimination
- Graphs of Equations in Three Variables
- Applications with Systems of Linear Equations in Three Variables
- Matrices
- The Augmented Matrix
- The Gaussian Elimination Method
- Inconsistent and Dependent Equations
- Determinants
- Cramer's Rule (2 X 2)
- Minors
- Evaluating a 3 X 3 Determinant
- Cramer's Rule (3 X 3)
- Linear Inequalities in Two Variables
- Graph of a Linear Inequality
- Using a Test Point to Graph an Inequality
- Applications with Graphing Linear Inequalities in Two Variables
- The Solutions to a System of Inequalities
- Graphing a System of Inequalities
- Graphing the Constraints
- Maximizing or Minimizing a Linear Function
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