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

You have studied Linear equations in one variable in your previous classes. You have
also learnt that such equations have only one solution. Now let’s go a step ahead and
learn about linear equations in two variables. How many solutions does a linear
equation with two variables have? What does the solution look like on the Cartesian

You’ll be able to answer all such questions in Class 9, Chapter 4 – Linear Equations in
two variables. To understand this chapter clearly, it is crucial for you to have a solid
knowledge of linear equations in one variable, as the key concepts of the same are
extended to that of two variables in this chapter.

Let’s take a look at topics and sub-topics of Class 9 Maths:

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

In Class 9 Maths Chapter 4, you will learn – 

Section 4.2 - With solved examples given in this section, you’ll learn what a linear
equation in two variables is, and how it is different from linear equations in one

Section 4.3 - Once you understand what linear equation in two variables is, you can
look into the solutions for the same. Interestingly, in two variables, even the solutions
are a pair of values, one related to ‘x’ and another related to ‘y’. You’ll also learn that a
linear equation in two variables has infinite solutions. Besides exercises, examples &
solutions, figures are also given accompanied by remarks for better understanding.

Section 4.4 – Apart from solving the linear equations in two variables algebraically, in
this section, you’ll learn how to solve such equations geometrically. You’ll even get a
clear idea of how to represent the linear equations in two variables graphically on the
Cartesian plane. It is also known as the graph of the linear equations.

Section 4.5 – In this section, you’ll learn about the equations of those lines which are
parallel to x-axis and y-axis.

You can solve exercises of Linear Equations in Two Variables with the help of NCERT
Solutions for Class 9 Maths – Chapter 4. Download the NCERT Solutions for Class 9 Maths Chapter 4 PDF, solved by expert maths trainers and find solutions to all your problems.

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