# 7.6: Consistent and Inconsistent Linear Systems

Difficulty Level: Basic Created by: CK-12
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Practice Consistent and Inconsistent Linear Systems

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### Vocabulary Language: English Spanish

TermDefinition
consistent system A system where the two equations overlap at one, multiple, or infinitely many points is called a consistent 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 A system with no solutions is called an inconsistent system. For linear equations, this occurs with parallel lines.
substitute In algebra, to substitute means to replace a variable or term with a specific value.

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