System of Equations with 3 variables - Part 1

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Taught by YourMathGal
  • Currently 4.0/5 Stars.
5936 views | 1 rating
Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson, Julie Harland teaches how to solve a system of three linear equations with three variables using the addition (elimination) method. Students will learn how to eliminate one variable at a time and solve the system by working with two different equations. By following the step-by-step process and checking their answers, students will be able to solve these complex problems and gain a deeper understanding of linear systems with multiple variables.

Lesson Description:

This video shows how to solve a system of 3 three linear equations in 3 variables using the addition (elimination) method. The same problem is solved in the second part of this series using the substitution method.

More free YouTube videos by Julie Harland are organized at

Questions answered by this video:
  • How do you solve a system of 3 equations with 3 variables with the elimination / addition method?
  • How do you solve the system of equations 3x + 2y + z = 1, x - 2y + 2z = 4, 2x + 4y + 3z = 9?
  • Where do you start when trying to solve a system of 3 equations in 3 variables?
  • How can you check your solution to a system of 3 equations?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson discusses a topic that can be very difficult -- solving a system of 3 equations in 3 variables. This lesson uses the elimination or addition method. To completely solve this type of problem, you must take two equations at a time. Each step in this problem is explained and written out. Great tutorial. The next lesson in this series solves this problem using substitution.