Consistent -
A system of equations with at least one solution.
Dependent -
A system of two linear equations if dependent if the equations describe the same line.
Inconsistent -
A system of equations with no solutions.
Independent -
A system of two linear equations is independent if the equations describe distinct lines.
System of Equations -
A set of two or more equations with the same variables.
Underdetermined -
A system in which there are more variables than equations is underdetermined.