NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables

 

NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables-

In our previous classes, we have studied linear equations in one variable. In this chapter, we will study linear equations in two variables of the type ax+by+c=0 where a, b and c are the real numbers, and a and b both are not zero. In this chapter, there is a total of 4 exercises with 16 questions.  The NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables are designed by our subject experts to help students in their preparation of CBSE final examination of class 9 Maths exam as well as in the various competitive exams like Indian National Olympiad (INO), National Talent Search Examination or NTSE etc. These NCERT solutions are the detailed explanation of each and every problem of NCERT Class 9 Maths textbook.

NCERT Class 9 Maths Chapter 4 Linear Equations in Two Variables falls under the Algebra unit. This unit holds 20 marks in the CBSE final exam. We already studied linear equations in two variable in 8th class, in this class we are going to learn about linear equation in two variables.

x + 1 = 0, 5x + 2 = 0

and 

2y + 3 = 0 are the examples of linear equations in one variable and x + y = 5 and x - 3y = 3

are examples of linear equations in two variable. In this chapter we will deal with problems related to proving the linear equation has an infinite number of solutions, draw a linear equation on the graph and justification of particular point on the line. In this chapter we will also deal with problems like what is the equations of lines parallel to x- and y-axis, for example, the graph of x = a is a straight line parallel to y-axis and graph of y = a is a straight line parallel to x-axis.

 

 

Example:

Write each of the following equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:

 

\\(i) 2x + 3y = 4.37\\\\(ii) x -4 = \sqrt{3}y\\\\(iii) 4 = 5x - 3y\\\\(iv) 2x = y

Solution-

(i)

2x + 3y = 4.37 can be written as 2x + 3y -4.37 = 0. Here a = 2, b = 3and c = - 4.37.

(ii)

The equationx - 4 = \sqrt{}3y can be written as  x -\sqrt{} 3y - 4 = 0.  Here  a = 1,b =-\sqrt{}3and c = -4.

(iii) The equation

5x -3y=4 can be written as 5x -3y-4=0. Here a = 5, b = -3and c = - 4 .

(iv) The equation

2x = y can be written as 2x - y + 0 = 0. Here a = 2, b = -1 and c = 0 .

Topics of NCERT Grade 9 Maths Chapter 4 Linear Equations in Two Variables-

4.1 Introduction

4.2 Linear Equations

4.3 Solution of a Linear Equation

4.4 Graph of a Linear Equation in Two Variables

4.5 Equations of Lines Parallel to x-axis and y-axis

4.6 Summary

The complete Solutions of NCERT Class 9 Mathematics Chapter 4 is provided below:

NCERT Solutions for Class 9 Maths - Chapter Wise

Chapter No.

Chapter Name

Chapter 1

Number Systems

Chapter 2

Polynomials

Chapter 3

Coordinate Geometry

Chapter 5

Introduction to Euclid's Geometry

Chapter 6

Lines And Angles

Chapter 7

Triangles

Chapter 8

Quadrilaterals

Chapter 9

Areas of Parallelograms and Triangles

Chapter 10

Circles

Chapter 11

Constructions

Chapter 12

Heron’s Formula

Chapter 13

Surface Area and Volumes

Chapter 14

Statistics

Chapter 15

Probability

NCERT Solutions for Class 9 - Subject Wise

NCERT Solutions for Class 9 Maths
NCERT Solutions for Class 9 Science
 

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