4. Special terminology

In grade $9$, we have learnt that geometrically the linear equations in two variables will be a straight line. So, let us know how the pair of linear equations in two variables look geometrically.

 

If there are $2$ lines in a plane, then only $1$ of the $3$ possibilities will happen.

 

1. When two lines in a graph intersect at only one point, then the graph is a consistent system and has one solution.

 

 

2. When two lines in a graph do not intersect at any point, then the graph is an inconsistent system and has no solution.

 

 

3. When two lines in a graph are identical at all points, the graph is a consistent system and has infinitely many points.