# 7.6: Consistent and Inconsistent Linear Systems

Difficulty Level:

**Basic**Created by: CK-12
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consistent system

consistent system

A system where the two equations overlap at one, multiple, or infinitely many points is called a

*consistent system.*consistent-dependent system

consistent-dependent system

When solving a system of coincident lines, the resulting equation will be without variables and the statement will be true. You can conclude the system has an infinite number of solutions. This is called a**.**

*consistent-dependent system*inconsistent system

inconsistent system

A system with no solutions is called an**For linear equations, this occurs with parallel lines.**

*inconsistent system.*substitute

substitute

In algebra, to substitute means to replace a variable or term with a specific value.### Image Attributions

## Description

Identify consistent and inconsistent linear systems.

## Learning Objectives

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## Difficulty Level:

Basic## Tags:

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## Date Created:

Feb 24, 2012## Last Modified:

Feb 26, 2015## Vocabulary

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