Chapter I : Linear Equations in two variables in two variables

Example 12. Solve the following system of equation graphically.

Solution:- Let us take the equation

When

When

When

x	1	3	5
y	-2	-1	0

We plot the points (1, -2), (3, -1) and (5, 0) on a graph paper and join them. We get a straight line.

Now, we take equation

When x = 1, y = -2

When x = 3, y = -1

When x = 5, y = 0.

We see the points are same as in equation (1). Hence these points line on the previous line. If we consider the joins of these points separately, we can say that one line is totally covered by the other hence: there are infinitely many solution of the system of equation.