## Consistent and Dependent Systems

How do you know if an equation is dependent or independent? If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite

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## Consistent Dependent

A dependent system of linear equations is a set of equations that has an infinite number of solutions. The equations in that system represent the same line when plotted on a graph.

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## Inconsistent and Dependent Systems in Three Variables

A consistent system is considered to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide so the equations

## Dependent Systems of Linear Equations

Systems of equations can be classified by the number of solutions. If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite

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