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← 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 = 2 x - 1 y = 2 x + 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.

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