### Determining the Type of Linear System

- A
**consistent system**will always give exactly ___ solution. - An
**inconsistent system**will yield a statement that is*_______*(like ). - A
**dependent system**will yield a statement that is*_______*(like ).

To determine the type of linear system...

- Solve the systems of equations using substitution, linear combination, or any other method. Remember, the solution to the system of equations are quantities for x, y, (and z) that
*satisfy all equations.* - If you can successfully solve the system of equations with only one solution,
**you know it is consistent.** - If the "solution" to the system of equations turns out to be false,
**you know it is inconsistent.** - If the solution to the system of equations turns out to be always true regardless of the situation,
**you know it is dependent.**

### Practice

For more practice, look here.