Chapter I : Linear Equations in two variables in two variables

Graphical solution of system of linear equations:

Example 10. Solve graphically the system of equations:

Solution: To draw the graphic of equations (1) and (2) we find three solutions of each of the equations (1) and (2)

Or,

 

x 1 -2 4
y -1 -3 1

Now we plot the print (1, -1) (-2, -3) and (4, 1). After joining we get a straight line.

And 3x + 4y + 1 = 0

x 1 -3 5
y -1 2 -4

Again we plot the point (1, -1), (-3, 2) and ((5, -4) on the same graph paper and join then.

Now, we get see that the lines of these two equations intersect at (1, -1).
. Is the solution of the system of equations.

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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