If you look at the graph, there's only one line? what the dickens happen to the graph of the other equation?
well, it turns out that, 2y = -2x + 2, is really just 2( y) = 2(-x + 1), if you divide both sides by 2, the 2 goes poof, and the second equation looks exactly just like the first one.
that means the graph for the second equation, is exactly the same as the first one, so there are two lines in that picture, it's just that one line is pancaked on top of the other. Meaning the system has "infinitely many solutions", pretty much every single point in the graph.
the points are coinciding with each other, they're just pancaked on one another, is coincident.
the system has at least one solution, it really has an infinite number, but it as a least one though, is consistent.
so that makes the system consistent and coincident.
