Theory:

Using the graph, we can predict how many solutions are there for the given system of linear equations.
 
1. When two lines in a graph intersect at only one point, then, the graph is said to be a consistent system and has one solution.
 
1.PNG
 
2. When two lines in a graph do not intersect at any point, then, the graph is an inconsistent system and has no solution.
 
2.PNG
 
3. When two lines in a graph are identical at all points, the graph is said to be a consistent system and has infinitely many points.
 
3.PNG