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.

 

Subjects Maths (Part-1) by Mr. M. P. Keshari
Chapter 1 Linear Equations in Two Variables
Chapter 2 HCF and LCM
Chapter 3 Rational Expression
Chapter 4 Quadratic Equations
Chapter 5 Arithmetic Progressions
Chapter 6 Instalments
Chapter 7 Income Tax
Chapter 8 Similar Triangles