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in this video were going to take a look at classifying systems of linear equations first of all if were going to graph systems of linear equations where we have two equations what were going to find is that theres three possible things that can happen one thing that can happen is that the lines intersect at one point something like that another thing that could happen is that the lines the graphs are right on top of each other so thats another situation and finally the third thing that could happen is the lines never intersect in other words theyre parallel to each other so those three things are what can happen given two linear equations so we have some vocabulary that we can use to tell whats going on in their systems and it starts with consistent and inconsistent well lets go back to our three different situations and look at the number of solutions in each of those situations if we have a situation like this theres one solution the solutions show up where the lines intera
