College Algebra

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created 3 years ago by mviaggio
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1

SYSTEM OF EQUATIONS

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

2

SOLUTION

AN ORDERED PAIR OF NUMBERS THAT MAKES BOTH EQUATIONS TRUE.

3

POINT OF INTERSECTION

THE ORDERED PAIR WHERE TWO OR MORE LINES INTERSECT.

4

CONSISTENT

A SYSTEM OF EQUATIONS THAT HAS AT LEAST ONE SOLUTION.

5

INCONSISTENT

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

6

DEPENDENT

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

7

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.

8

SUBSTITUTION METHOD

ISOLATING A VARIABLE AND SUBSTITUTING.

9

ELIMINATION METHOD

USING THE ADDITION PRINCIPLE TO ELIMINATE A VARIABLE.