Conditions For Consistency

Conditions For Consistency:

>> Consistent and Inconsistent Systems of Equations All the systems of equations that we have seen in this section so far have had unique solutions.

>> These are referred to as Consistent Systems of Equations, meaning that for a given system, there exists one solution set for the different variables in the system or infinitely many sets of solution.

>> In other words, as long as we can find a solution for the system of equations, we refer to that system as being consistent.

>> For a two variable system of equations to be consistent the lines formed by the equations have to meet at some point or they have to be parallel.

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