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.