Chapter I : Linear Equations in two variables in two variables

Example 11. Solve graphically the system of linear equations:

Solution:- Let us take

When

When

When

x	0	3	-3
y	1.5	-0.5	3.5

We plot the point (0, 1.5) (3, -0.5) and (-3, 3.5) on a graph paper and join them which is a straight line.

And 2x +3y = -11

When

When

When

x	-1	-4	>2
y	-3	-1	-5

Again we plot the points (-1, -3), (-4, -1) and (2, -5) on the same graph paper and join then we get a straight line which is parallel to previous line. The lines do not intersect and hence we get no solution.