 # Solving Systems of 3 or More Variables 14.6. Why a Matrix? In previous math classes you solved systems of two linear equations using the following method:

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Solving Systems of 3 or More Variables 14.6

Why a Matrix? In previous math classes you solved systems of two linear equations using the following method: Graphing Substitution Elimination These solutions were 2-dimensional (x, y). Matrices can also be used to solve systems of equations. They are especially useful in systems that involve 3 or more variables.

We Live in a 3 Dimensional World, … Right? Add the following points to the graph (3, 4, 0)and (3, 4, -2) Look carefully at the example of graphing the 3 dimensional point (3,2,4). Where x=3, y=2, and z=4

Solve by hand

Using a Matrix to solve

Now Solve example 2 again, this time using a matrix and your calculator.

Now you try… Aren’t you glad you aren’t doing this by hand?

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