## 6-4 Solving Special Systems

**Objectives**: Solve special systems of linear equations in two variables & classify systems of linear equations and determine the number of solutions.

Systems of linear equations that has a solution (or solutions) are called

If a system is consistent, it can either be independent for dependent.

__. A system that has no solutions (__**consistent***parallel lines - therefore the same slope*) is called an__.__**inconsistent system**If a system is consistent, it can either be independent for dependent.

- An
has exactly ONE solution.__independent system__ - A
has infinitely solutions. (__dependent system__*This consists of two coincident lines - lines that are identical in both slope and y-intercept.*)

Systems of linear equations will be one of the below classifications.

The absolute EASIEST way to classify a system is to put it in slope intercept form. Then you compare slopes and y-intercepts very quickly.