# NCERT Exemplar Class 9 Maths Chapter 4 Solutions: Linear Equations in Two Variables

NCERT Exemplar Solutions for Class 9 Maths Chapter 4 focus on developing an understanding of different concepts of linear equations with two variables. The chapter covers different topics like the general form of a linear equation, how to draw a graph of linear equation, finding solutions of linear equation, and equation of the line passing through the origin. Instasolv brings you Class 9 Maths NCERT Exemplar Class 9 Maths problems with solutions for Chapter 4 where you can easily prepare all these concepts in a better and effective way.

Class 9 Maths NCERT Exemplar Chapter 4 has a total of 4 exercises and 42 questions covering different topics of the entire chapter. The questions of the chapters are designed in a manner that they easily cover the preparation of competitive exams like NTSE along with CBSE exams. Our subject matters have therefore prepared adequate solutions for your practice. Revising the chapter using the NCERT Exemplar will help you in scoring good marks. Thus, you are advised to practice NCERT Class 9 Maths Exemplar problems and solutions for chapter 4 in a proper way to enhance your knowledge about the topics.

## Important Topics for NCERT Exemplar Class 9 Maths Solutions Chapter 4: Linear Equations in Two Variables

In the earlier class, you have learned about linear equations in 1 variable. In this chapter of NCERT Exemplar, you will get the knowledge about the linear equation to 2 variables. Also, you will know how the solution looks like a cartesian plane. The different topics that are covered in this chapter are listed below.

**Linear Equation in 2 variable**

An equation that has 2 variables is known as a linear equation in two variables

The general form of linear equation in 2 variables is expressed as ‘ax + by +c=0’. Here ‘a’ and ‘b’ are coefficients ‘c’ is a constant. Also, ‘a’ is not equal to 0 and ‘b’ is not equal to 0. ‘x’ and ‘y’ are variables.

**Slope-Intercept Form **

Normally the linear equation in 2 variables is written in the slope-intercept form as it is very easy to find the slope of any straight line while you draw the graph of it. The slope-intercept form is ‘y=mx+b’, where ‘m’ is the slope of the line and ‘b’ is the point of intersection of the line with the y-axis.

**The Solution of a Linear Equation **

There are infinite solutions in the linear equation in 2 variables. Because there are 2 variables the solution comes in an ordered pair form, i.e.{x,y} the solution of the equation is the pair that satisfies the equation.

**Graph of a Linear Equation in 2 Variables **

In this, you will know about how to draw a table so that you can write the solutions of a given equation and then you can plot them all on the cartesian plane. By joining all the coordinates you will get the line of the equation.

### Some Important Points for NCERT Exemplar problems of Chapter 4

- Linear equation in 2 variables has may solutions
- The graph of every linear equation with 2 variable is a straight line y=0 is the equation of x-axis and x=0 is the equation of y-axis
- The graph of x =a is a straight line that is parallel to the y-axis
- The graph of y=a is a straight line that is parallel to the x-axis
- An equation which is of type y=mx basically represents the line passes through the origin.
- Every solution of linear equations in 2 variables is a point on the graph of linear equations

### Exercise Discussion of NCERT Exemplar Class 9 Maths Solutions Chapter 4: Linear Equations in Two Variables

- The exercises 4.1 has 12 questions in which you will have to find the correct solution for given linear equations.
- Exercise 4.2 has 7 questions with a combination of the true or false question, graph question on the graph of linear equations.
- Exercise 4.3 covers 10 questions in which you need to draw graphs by finding the solutions for linear equations. The exercise tests your analytical skills in a depth manner.
- Exercise 4.4 consists of 6 questions based on graphs of linear equations in two variables. Some questions are application-based.

### Benefits of Instasolv’s NCERT Exemplar Class 9 Maths Solutions Chapter 4: Linear Equations in Two Variables

Our team thoroughly understands how important class 9 Maths is as it builds the base for the next classes. Instasolv ensures that you have the easiest access to the best resources as well as the best teachers. Our team strives together to provide you with the easy to understand study material online.

We have solved all the NCERT Exemplar Class 9 problems for chapter 4 as per the CBSE guidelines. There are stepwise descriptions on the questions related to graphs so that you can follow the procedures and get to the right solutions eventually.