3 Variable System of Equations Test #5

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In this section, we expand our knowledge and learn about solving 3 Variable Systems of Equations. These problems will deal with three equations
and three variables x, y, and z. When we encounter a linear equation in three variables, the solution is written as an "ordered triple" (x,y,z).
There are many methods that can be used to solve a system of linear equations in three variables. Most texts will suggest an extension of the
elimination method. With this method, we choose one of the variables to eliminate. We eliminate this variable from any two equations of the
system. We then eliminate the same variable from any two other equations. This produces a linear system in two variables. From this point,
we can solve using any of the techniques we know: elimination or substitution. Once we solve the linear system in two variables, we plug
the two known values into one of the original equations and solve for the final unknown. As we usually do, we check by plugging into each
original equation. We will also encounter systems with no solution, or infinitely many solutions.

3 Variable System of Equations Resources:

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
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