Linear Systems with Three Variables Video Lesson w/ Notes

Grade Levels
9th - 11th, Homeschool
Resource Type
Formats Included
  • Streaming Video(cannot be downloaded)
  • Supporting Information
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This video lesson is perfect for distance learning, hybrid learning, sub plans, class activities, math centers, remedial help, flipping your class, and more!

This lesson will teach your students how to choose an appropriate method to solve linear system with three variables. In particular, your students will be able to...

  • Determine the solution of a linear system with x, y and z variables
  • Choose appropriate methods to solve a system with three variables
  • Determine in what coordinates 3-D objects should be graphed when two-dimensional objects are graphed in a coordinate plane.

You receive not only the instructional video but accompanying notes for students to complete as they watch the lesson. Answer key is also included.

This means you can easily hold your students accountable, increase their retention and understanding, and provide them a great resource for review.

Perfect for in-class demonstration, remedial help, sub plans, or for flipping your class.ย 

Upon purchase, you will immediately receive the student notes as well as access to stream the full video lesson from Teachers pay Teachers. You will also receive a link to download the video so that you can give your students access to watch it at home.

This video lesson is designed for Algebra 2 students. To teach this concept on a more introductory level, check out the Algebra 1 Applications of Linear Systems of Equations Video Lesson.

Grab the related Algebra 2 video lessons:

ยท Solving Systems by Graphing

ยท Solving Systems Algebraically

ยท Systems of Inequalities

ยท Linear Programming


Want to see an example first?ย 

Download our free pre-algebra Integers unit with videos here.

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The MathLight curriculum is also a great option for homeschoolers, as it includes video explanations for each concept. Visit for more info.

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to see state-specific standards (only available in the US).
Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3๐˜น + 2๐˜บ = 5 and 3๐˜น + 2๐˜บ = 6 have no solution because 3๐˜น + 2๐˜บ cannot simultaneously be 5 and 6.
Explain why the ๐˜น-coordinates of the points where the graphs of the equations ๐˜บ = ๐˜ง(๐˜น) and ๐˜บ = ๐‘”(๐˜น) intersect are the solutions of the equation ๐˜ง(๐˜น) = ๐‘”(๐˜น); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where ๐˜ง(๐˜น) and/or ๐‘”(๐˜น) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.


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