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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Independent, Inconsistent, and Dependent Systems of Equations

There are three possible ways in which two lines can be positioned in a plane. The lines might intersect in a single point. In this case we say that the equations are independent or the system is independent. If the two lines are parallel, then there is no solution to the system, and the equations are inconsistent or the system is inconsistent. If the two equations of a system are equivalent, the equations are dependent or the system is dependent.

The next figure shows the types of graphs that correspond to independent, inconsistent, and dependent systems.

 Independent Inconsistent Dependent