Solve the system of equations graphically:
3x+y+1=0
2x-3y+8=0

Solution:

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

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

Therefore, we have the following table for the eq. .

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

Therefore, BC is the graph of


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

Thus, we have the following table for the eq. .

So now, plot the points and . The point has already been plotted. Join and and extend it on both ways.
Therefore, PQ is the graph of .

The two graph lines intersect at B .
and