<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Dismiss
Skip Navigation
Our Terms of Use (click here to view) and Privacy Policy (click here to view) have changed. By continuing to use this site, you are agreeing to our new Terms of Use and Privacy Policy.

Chapter 7: Solving Systems of Equations and Inequalities

Difficulty Level: At Grade Created by: CK-12

Introduction

Up until this point, you’ve solved single equations and inequalities for one unknown, but what if you had more than one equation or inequality with the same but multiple unknowns? For example, what if you wanted to find the number of paid adults AND the number of paid children at a movie premiere? How could you find the value of both variables? This chapter will teach you how to do so by introducing you to systems of equations and inequalities.

A system is nothing more than a set of equations or inequalities with the same variables. To solve such systems, you can use various methods including graphing, substitution, and elimination.

Chapter Outline

Chapter Summary

Summary

This chapter focuses on solving systems of linear equations. First it provides strategies for determining if an ordered pair is a solution to a system. It then moves into methods to solve such systems, including graphing, substitution, and elimination through addition, subtraction, and multiplication. The chapter then distinguishes between dependent, consistent, and inconsistent linear systems. Systems of linear inequalities are addressed as well. Finally, it ends with an overview of linear programming, or the mathematical process of analyzing a system of inequalities to make the best decisions given the constraints of the situation

Image Attributions

Show Hide Details
Description
Difficulty Level:
At Grade
Grades:
Date Created:
Nov 26, 2015
Last Modified:
Apr 19, 2016
Save or share your relevant files like activites, homework and worksheet.
To add resources, you must be the owner of the FlexBook® textbook. Please Customize the FlexBook® textbook.
Please wait...
Please wait...
Image Detail
Sizes: Medium | Original
 
Here