Ch 11: Solving Linear Equations

About This Chapter

Our engaging video lessons can be used to guide your study of solutions for linear equations. The self-assessment quizzes that follow each lesson alert you to any further review requirements.

Solving Linear Equations - Chapter Summary and Learning Objectives

Continue your study of linear equations with this informative chapter. You can find out how systems of equations may be used for comparisons in real-life problems simply by changing stories into equations. Lessons will also delve into solutions for linear systems with multiple variables. By the time you complete this chapter, you should be familiar with the following:

  • Systems of equations
  • Solving linear systems in two or three variables
  • How are linear systems in three variables with no or infinite solutions solved?
  • Linear systems with no or infinite solutions

Video Objective
What is a System of Equations? Find out about systems of equations and their graphs.
How Do I Use a System of Equations? Learn to change stories into equations in order to solve.
How to Solve a System of Linear Equations in Two Variables Explore methods for solving systems of linear equations in two variables.
How to Solve a Linear System in Three Variables With a Solution Practice finding solutions for linear systems in three variables with solutions.
How to Solve a Linear System in Three Variables With No or Infinite Solutions Examine steps for solving linear systems in three variables with either infinite or no solutions.

5 Lessons in Chapter 11: Solving Linear Equations
Test your knowledge with a 30-question chapter practice test
What is a System of Equations?

1. What is a System of Equations?

So what happens if we want to compare more than one equation? Welcome to a 'system' of equations! Learn what one is, how to solve them and when they come up in real life.

How Do I Use a System of Equations?

2. How Do I Use a System of Equations?

There are a few classic algebra word problems, such as the one about two trains traveling at different speeds. In this lesson, you'll learn how to take a word problem and convert it into the system of equations that will allow you to find the answer using either substitution or elimination.

How to Solve a System of Linear Equations in Two Variables

3. How to Solve a System of Linear Equations in Two Variables

Watch this video lesson to learn how you can solve a system of linear equations in two variables by using the substitution method. Learn how easy it is to use on any linear system in two variables.

How to Solve a Linear System in Three Variables With a Solution

4. How to Solve a Linear System in Three Variables With a Solution

After watching this video lesson, you will be able to solve a linear system in three variables using the elimination method. Learn the simple operations that are needed to solve your system.

How to Solve a Linear System in Three Variables With No or Infinite Solutions

5. How to Solve a Linear System in Three Variables With No or Infinite Solutions

In this video lesson, you will learn to recognize when a linear system has no solution or an infinite number of solutions. You will also learn how to go about solving each of these types of systems.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Support