Sections:

# Solving Linear Systems in Three Variables

About:

Additional Resources:

In this section, we will learn how to solve a linear system when three variables are involved. Since we are now dealing with three variables instead of two, our solution will change from an ordered pair: (x,y), to an ordered triple: (x,y,z). Now, to solve a linear system with three variables, first we eliminate a variable from any two of the equations. Next, we eliminate the same variable from a different pair of equations. This will lead to a two-variable system with two equations. We can solve this system and find two of our unknowns. We can then plug into one of our original equations to find the third and final unknown.

Solving Linear Systems in Three Variables:

Videos:

Khan Academy - Video Khan Academy - Video Virtual Nerd - Video Text Lessons:

Lamar EDU - Text Lesson Math Planet - Text Lesson Spark Notes - Text Lesson Worksheets:

Kuta - Worksheet Math-Drills - Worksheet + Show More +