Graphing Systems of Equations

Consistent Independent System

Always have a single solution.

Consistent Independent Systemx = 2, y = 3

Graphically, the solution is the intersection point of the two straight lines.

Consistent Independent System Graph

Consistent Dependent System

The system has infinite solutions.

Consistent Dependent System

Graphically, two identical straight lines are obtained and any point on the line is a solution.

Consistent Dependent System Graph

Inconsistent System

Has no solution

Inconsistent System

Graphically, two parallel straight lines are obtained.

Inconsistent System Graph


Examples

System of Equations

Systems of Equations Graph


Systems of Equations

Systems of Equations Graph