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.