Systems of Linear Equations

You are use examples that show the advantages of using each method.  The idea is to be as efficient as possible, so that we do not open ourselves up to preventable arithmetic errors, or graphical ambiguities.  This decision process we use whe solving systems of two linear equations in two variables is largely based on how the system is given to us, as well as, the complexity of the coefficients on the variables.  You must provide an example for each of the four methods we have developed in class along with an explaination as to why that method is most appropriate for that system.

1. Graphing
2. Substitution
3. Elimination by addition
4. Matrices