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A system of equations that has one or more solutions is called a consistent system. For example, consider the following linear systems. ccc Example System I & & Example System II [0.8em] y=x+1 y=2x-2 & & y=x-1 2y=2x-2 To determine the number of solutions, each system can be graphed on a coordinate plane.
In the graph, it can be seen that the first system has exactly one solution. The second system has infinitely many solutions. Therefore, since both systems have one or more solutions, they are consistent systems.