Paul's Online Math Notes
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Algebra - Notes
 Exponential and Logarithm Functions Previous Chapter Applications Previous Section Next Section Linear Systems with Two Variables

## Systems of Equations

This is a fairly short chapter devoted to solving systems of equations.  A system of equations is a set of equations each containing one or more variable.

We will focus exclusively on systems of two equations with two unknowns and three equations with three unknowns although the methods looked at here can be easily extended to more equations.  Also, with the exception of the last section we will be dealing only with systems of linear equations.

Here is a list of the topics in this section.

Linear Systems with Two Variables  In this section we will use systems of two equations and two variables to introduce two of the main methods for solving systems of equations.

Linear Systems with Three Variables  Here we will work a quick example to show how to use the methods to solve systems of three equations with three variables.

Augmented Matrices  We will look at the third main method for solving systems in this section.  We will look at systems of two equations and systems of three equations.

More on the Augmented Matrix  In this section we will take a look at some special cases to the solutions to systems and how to identify them using the augmented matrix method.

Nonlinear Systems  We will take a quick look at solving nonlinear systems of equations in this section.

 Applications Previous Section Next Section Linear Systems with Two Variables Exponential and Logarithm Functions Previous Chapter

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