Step-by-step explanation:
If a system has at least one solution, it is said to be consistent. If a consistent system has exactly one solution, it is independent. If a consistent system has an infinite number of solutions, it is dependent.
and if it has no solutions (lines are parallel), then it is inconsistent.
I think that information can be easily found on the internet.
so, the first one on the left is consistent independent. it has a unique solution at (-2, 1). the solution is always the crossing point of the lines.
the middle system is consistent dependent. both lines are identical, and so we have infinite many "crossing points" or solutions.
the right system is inconsistent, as 2 parallel lines have no solution at all.
