Given,
……. (i)
……. (ii)
For equation (i),
When , we have
When , we have
Thus we have the following table giving points on the line
x | ||
y |
For equation (ii),
We solve for y:
So, when
And, when
Thus we have the following table giving points on the line
x | ||
y |
Graph of the equations (i) and (ii) is as below:
Thus, the graphs of the two equations are coincident.
Hence, the system of equations has infinitely many solutions.