Solving Systems of Equations by Graphing
Concept

Inconsistent System

A system of equations that has no solutions is called an inconsistent system. For example, consider the following linear system. y=2x-1 y=2x+2 To determine the number of solutions, the system can be graphed on a coordinate plane.

The lines do not intersect. The system has no solution and is therefore an inconsistent system.

Exercises