##### College Algebra

SYSTEM OF EQUATIONS

SET OF TWO OR MORE EQUATIONS WITH TWO OR MORE VARIABLES.

SOLUTION

AN ORDERED PAIR OF NUMBERS THAT MAKES BOTH EQUATIONS TRUE.

POINT OF INTERSECTION

THE ORDERED PAIR WHERE TWO OR MORE LINES INTERSECT.

CONSISTENT

A SYSTEM OF EQUATIONS THAT HAS AT LEAST ONE SOLUTION.

INCONSISTENT

A SYSTEM OF EQUATIONS THAT HAS INFINITELY MANY SOLUTIONS (0=0) OR NO SOLUTIONS (0=2).

DEPENDENT

A SYSTEM OF EQUATIONS WHERE ONE EQUATION CAN BE WRITTEN AS A MULTIPLE AND/OR A SUM OF THE OTHER EQUATIONS.

INDEPENDENT

A SYSTEM OF EQUATIONS WHERE EACH EQUATION IS UNIQUE AND CANNOT BE WRITTEN AS A MULTIPLE AND/OR SUM OF ANOTHER IN THAT SYSTEM.

SUBSTITUTION METHOD

ISOLATING A VARIABLE AND SUBSTITUTING.

ELIMINATION METHOD

USING THE ADDITION PRINCIPLE TO ELIMINATE A VARIABLE.