# Chapter 3: Systems of Linear Equations and Inequalities

Created by: CK-12

## Introduction

In this chapter of Algebra II students will learn to solve linear systems by graphing, substitution, and linear combinations (also called elimination). This concept is expanded to include solving systems of linear inequalities and solving systems of linear equations in three variables.

## Chapter Outline

- 3.1. Checking a Solution for a Linear System
- 3.2. Solving Systems with One Solution Using Graphing
- 3.3. Solving Systems with No or Infinitely Many Solutions Using Graphing
- 3.4. Solving Systems with One Solution Using Substitution
- 3.5. Solving Systems with No or Infinitely Many Solutions Using Substitution
- 3.6. Solving Systems Without Multiplying
- 3.7. Solving Systems by Multiplying One Equation to Cancel a Variable
- 3.8. Solving Systems by Multiplying Both Equations to Cancel a Variable
- 3.9. Determining the Best Method to Solve a Linear System
- 3.10. Checking for Solutions to a System of Linear Inequalities
- 3.11. Graphing Systems of Linear Inequalities
- 3.12. Solving Linear Systems in Three Variables

### Chapter Summary

## Summary

This chapter covers solving systems of equations by graphing, substitution, and linear combinations. You will also solve systems of linear inequalities and systems with three equations and three unknowns.

### Image Attributions

## Description

This chapter covers solving linear systems, including systems of linear inequalities and systems of linear equations in three variables.

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## Date Created:

Mar 12, 2013## Last Modified:

Oct 08, 2013
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