Ch 8: Solving Problems with Systems of Equations

About This Chapter

Feel confident in your ability to solve problems with systems of equations as you study for an upcoming test. These entertaining lessons and short quizzes can quickly and effectively boost your knowledge of this subject and enhance your readiness for the day of your test.

Solving Problems with Systems of Equations - Chapter Summary

If you need help studying how to solve problems with systems of equations, look no further! This self-paced chapter provides a comprehensive overview of this subject by delving into ways to use systems of equations, solve linear equations and more. Complete the lessons to enhance your ability to:

  • Define, graph and use a system of equations
  • Explain why intersections of the graphs of two equations are solutions
  • Graph to solve linear equations
  • Solve linear equations with substitution
  • Use linear combinations to solve systems of equations

The lessons in this chapter are available around-the-clock, enabling you to study ways to solve problems with systems of equations whenever your schedule permits. Access any number of lessons in this chapter and visit them as often as you'd like to boost your knowledge of this subject. When ready, test your knowledge of the lessons you review by taking mini quizzes. A practice exam can check your understanding of the entire chapter.

6 Lessons in Chapter 8: Solving Problems with Systems of 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.

Intersections of the Graphs of Two Equations as Solutions

3. Intersections of the Graphs of Two Equations as Solutions

This lesson will do a quick review of equations and their graphs and solutions. We will then look at intersections of graphs of two equations and see how these intersections actually represent solutions to the equations.

How to Solve Linear Equations By Graphing

4. How to Solve Linear Equations By Graphing

This lesson will give a quick review of systems of linear equations and their solutions. We will then look at taking an example through a step-by-step process that allows us to solve a system of linear equations by graphing.

Solving Linear Equations With Substitution

5. Solving Linear Equations With Substitution

Solving for the unknowns in a set of linear equations is a common task in math, science and engineering. In this lesson, we look at the substitution method as a systematic approach to finding the unknown values.

Solving Systems of Equations with Linear Combinations

6. Solving Systems of Equations with Linear Combinations

This lesson will show how to solve Systems of Equations with Linear Combinations. We will use some sample problems and properties to prove the solution is the point of intersection.

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