Solution:
Draw a horizontal line on a graph paper and a vertical line YOY’ representing the axis and -axis, respectively.
Graph of
Putting , we obtain
Putting , we obtain
Putting , we obtain
Therefore, we have the following table for the eq.
Now, plot the points and on the graph paper. Join and to get the graph line . Extend it on both ways.
Therefore, the line AB is the graph of
Graph of
Putting , we obtain
Putting , we obtain
Putting , we obtain
So, we have the following table for the equation .
These are the same points as obtained for the graph line of eq.(i).
It is clear from the graph that these two lines coincide.
As a result, the given system of equations has an infinite number of solutions.