Solve the system of equations graphically:
x+2y+2=0
3x+2y-2=0

Solution:

Draw a horizontal line on a graph paper X’OX and a vertical line YOY’ as the -axis and -axis, respectively.

Putting , we obtain
Putting , we obtain
Putting , we obtain

So, we have the following table for the equation .

Now, plot the points and on the graph paper. Join and to get the graph line . Extend it on both ways.

So, is the graph of

Putting , we obtain
Putting , we obtain
Putting , we obtain

We have the following table for the eq. .

Now, plot the points and . The point has already been plotted. Join and and extend it on both ways.
Thus, is the graph of .

The two graph lines intersect at .