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Example 14

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.

 

 


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