Each of the graph should be matched to to the correct number of solutions as follows;
Graph 1 ↔ One.
Graph 2 ↔ None.
Graph 3 ↔ Infinite.
In Mathematics and Geometry, a system of equations has one solution when both equations produce lines that intersect and have a common point and as such, it is consistent independent i.e graph 1 with a point of intersection at point (2, -1).
A system of equations has no solution when both equations produce parallel lines with no common point and as such, it is inconsistent i.e graph 2.
In conclusion, a system of equations has infinitely many solutions (infinite number of solutions) when both equations produce the same line and as such, it is consistent dependent i.e graph 3.