Understanding Systems of Equations

Front

System of Equations

Back

Set of two or more equations with the same variables

Front

Solution of a System

Back

Values of variables that satisfy all equations

Front

Consistent System

Back

System with at least one solution

Front

Inconsistent System

Back

System with no solution

Front

Independent System

Back

Exactly one solution

Front

Dependent System

Back

Infinitely many solutions

Front

Substitution Method

Back

Solve one equation for a variable, substitute in another

Front

Elimination Method

Back

Add or subtract equations to eliminate a variable

Front

Graphical Method

Back

Plot equations, find intersection point(s)

Front

Linear System

Back

System of linear equations, e.g., ax + by = c