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# NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1 ## NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1 (Ex 4.1)

Free PDF download of NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1 (Ex 4.1) and all chapter exercises at one place prepared by expert teacher as per NCERT (CBSE) books guidelines. Class 9 Maths Chapter 4 Linear Equations in Two Variables Exercise 4.1 Questions with Solutions to help you to revise the complete Syllabus and Score More marks. Register and get all exercise CBSE Solutions in your emails. Download free NCERT Maths Class 9 to amp up your preparations and to score well in your examinations. Students can also avail of NCERT Solutions for Class 9 Science from our website.

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

Chapter 4 of the Class 9 Maths syllabus is on Pair of Linear Equations in Two Variables. The chapter on Pair of Linear Equations in Two Variables includes 9 major sections that need to be covered to have a better and thorough understanding of this topic. The following table includes a list of the 9 important topics that are covered in this chapter.

 Sl. No. Class 9 Maths Chapter 4 Topics 1 An Introduction 2 Pair of Linear Equations in Two Variables 3 Graphical Method of Solution of a Pair of Linear Equations 4 Algebraic Methods of Solving a Pair of Linear Equations 5 Substitution Method 6 Elimination Method 7 Cross-Multiplication Method 8 Equations Reducible to a Pair of Linear Equations in Two Variables 9 A Summary

We advise students to go through these topics carefully to get a precise understanding of the concepts.

### Importance of a Pair of Linear Equations in Two Variables

The chapter on the Pair of Linear Equations in Two Variables is an important chapter in Mathematics since it enables us to describe relations between two variables in the physical world, calculate rates, carry out conversions, and make predictions, among various other things. Students are advised to pay close attention while solving and practising the given questions in this chapter since most of the questions in their exams will demand some expertise in this area.

Last updated date: 27th May 2023
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## Access NCERT Solutions for Maths Chapter 4 - Linear Equations in Two Variables

### EXERCISE 4.1

1. The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement. (Take the cost of a notebook to be Rs. $\text{x}$ and that of a pen to be Rs. $\text{y}$ )

Ans. Let the cost of a notebook be Rs. $x$ and the cost of a pen be Rs. $y$ .

We know that the cost of a notebook is twice the cost of a pen.

Therefore, we can write the required linear equation in the form:

$Cost\text{ }of\text{ }notebook\text{ }=\text{ }2\text{ }\times \text{ }Cost\text{ }of\text{ }pen~~$

$x=2y~$

$x-2y~=0$

2. Express the following linear equations in the form $\text{ax+by+c= 0}$ and indicate the values of $\text{a}$ , $\text{b}$ , $\text{c}$ in each case:

(i) $\text{2x+3y=9}\text{.3}\overline{\text{5}}$

Ans. Writing the given equation in standard form $\text{ax+by+c= 0}$ :

$2x+3y=9.3\overline{5}$

$2x+3y-9.3\overline{5}=0$

Comparing this equation with standard form of the linear equation, $\text{ax+by+c= 0}$ we have:

$a=2$

$b=3$

$c=-9.3\overline{5}$

(ii) $\text{x-}\frac{\text{y}}{\text{5}}\text{-10=0}$

Ans. Writing the given equation in standard form $\text{ax+by+c= 0}$ :

$x-\frac{y}{5}-10=0$

$5x-y-50=0$

Comparing this equation with standard form of the linear equation, $\text{ax+by+c= 0}$ we have:

$a=5$

$b=-1$

$c=-50$

(iii) $\text{-2x+3y=6}$

Ans. Writing the given equation in standard form $\text{ax+by+c= 0}$ :

$-2x+3y=6$

$-2x+3y-6=0$

Comparing this equation with standard form of the linear equation, $\text{ax+by+c= 0}$ we have:

$a=-2$

$b=3$

$c=-6$

(iv) $\text{x=3y}$

Ans. Writing the given equation in standard form $\text{ax+by+c= 0}$ :

$x=3y$

$x-3y=0$

Comparing this equation with standard form of the linear equation, $\text{ax+by+c= 0}$ we have:

$a=1$

$b=-3$

$c=0$

(v) $2x=-5y$

Ans. Writing the given equation in standard form $\text{ax+by+c= 0}$ :

$2x=-5y$

$2x+5y=0$

Comparing this equation with standard form of the linear equation, $\text{ax+by+c= 0}$ we have:

$a=2$

$b=5$

$c=0$

(vi) $\text{3x+2=0}$

Ans. Writing the given equation in standard form $\text{ax+by+c= 0}$ :

$3x+2=0$

Comparing this equation with standard form of the linear equation, $\text{ax+by+c= 0}$ we have:

$a=3$

$b=0$

$c=2$

(vii) $\text{y-2=0}$

Ans. Writing the given equation in standard form $\text{ax+by+c= 0}$ :

$y-2=0$

Comparing this equation with standard form of the linear equation, $\text{ax+by+c= 0}$ we have:

$a=0$

$b=1$

$c=-2$

(viii) $\text{5=2x}$

Ans. Writing the given equation in standard form $\text{ax+by+c= 0}$ :

$5=2x$

$-2x+5=0$

Comparing this equation with standard form of the linear equation, $\text{ax+by+c= 0}$ we have:

$a=-2$

$b=0$

$c=5$

## NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables (Ex 4.1) Exercise 4.1

Opting for the NCERT solutions for Ex 4.1 Class 9 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 4.1 Class 9 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.

Vedantu in-house subject matter experts have solved the problems/ questions from the exercise with the utmost care and by following all the guidelines by CBSE. Class 9 students who are thorough with all the concepts from the Subject Maths textbook and quite well-versed with all the problems from the exercises given in it, then any student can easily score the highest possible marks in the final exam. With the help of this Class 9 Maths Chapter 4 Exercise 4.1 solutions, students can easily understand the pattern of questions that can be asked in the exam from this chapter and also learn the marks weightage of the chapter. So that they can prepare themselves accordingly for the final exam.

Besides these NCERT solutions for Class 9 Maths Chapter 4 Exercise 4.1, there are plenty of exercises in this chapter which contain innumerable questions as well. All these questions are solved/answered by our in-house subject experts as mentioned earlier. Hence all of these are bound to be of superior quality and anyone can refer to these during the time of exam preparation. In order to score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the exercises given next to it.

Do not delay any more. Download the NCERT solutions for Class 9 Maths Chapter 4 Exercise 4.1 from Vedantu website now for better exam preparation. If you have the Vedantu app in your phone, you can download the same through the app as well. The best part of these solutions is these can be accessed both online and offline as well.

### NCERT Solutions for Class 9 Maths

List of Exercises and Topics Covered in Linear Equation In Two Variable Class 9:

## FAQs on NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1

1. Why are Class 9 students recommended to download NCERT Solutions for Maths Chapter 4 Linear Equations in Two Variables Exercise 4.1?

Ans: Students are advised to download NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Exercise 4.1 as it is the best study material available to learn the chapter properly. It helps students to find answers to all the exercise questions in one place. Students will be able to solve problems where equations with two variables are involved with the help of NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Exercise 4.1. In case of having any doubts in the exercise, students can refer to these solutions without any second thoughts. The study material is provided by subject matter experts at ed-tech platforms like Vedantu at no cost. The solutions are provided in a step-by-step manner to ensure students can learn them on their own. Vedantu provides well-prepared NCERT Solutions designed as per the latest guidelines and syllabus to help students score well in exams.

2. How to procure NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.1?

Ans: Students can procure exercise-wise NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables in a free to download PDF format on Vedantu’s site. Vedantu is a known name in the e-learning sector. Students who are facing difficulty in solving Exercise 4.1 questions of Class 9 CBSE Maths can avail the solutions on Vedantu’s site provided by expert tutors. This is an important chapter as questions on Linear Equations in Two Variables will help students solve higher-level problems of Maths. Hence, students must solve all the problems and refer to Vedantu’s site for solutions. They can also register for masterclasses by experts for hassle-free learning and instant doubt clearance.

3. Why is Vedantu a popular choice for exercise-wise NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables?

Ans: Exercise-wise NCERT Solutions for Class 9 Maths Chapter 4 and other chapters by Vedantu are the most comprehensive and well-researched study material. NCERT Solutions for Class 9 Mathematics Chapter 4 Linear Equations in Two Variables Exercise 4.1, as well as other exercises, are prepared according to how it is explained in the example questions given in the textbook. Moreover, it includes step-by-step explanations of the chapter’s problems. NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables is a popular choice among students as it helps them to improve their understanding of the chapter and provide effective revision. Moreover, these solutions are known to improve student’s marks in the exam.

4. What are the types of questions in Ex 4.1 of Class 9 Maths Chapter 4?

Ans: There are two types of questions asked in the first exercise of Class 9 Maths Chapter 4. The first question is a problem statement which has to be represented as a linear equation in two variables. In the second question, there are certain equations given which have to be expressed in the form of ax + by + c = 0. The exercise will help students to understand how to express linear equations in two variables correctly.

5. What is the best Solution book for NCERT for Class 9?

Ans: The best NCERT Solutions for Class 9 are provided by Vedantu. These solutions are prepared with complete precision and accuracy by subject experts who have several years of experience and are highly qualified. Before getting published, these solutions are checked several times and revised, if need be. Students who want to refer to the NCERT Solutions for Class 9 Maths can use NCERT Solutions for Class 9 from Vedantu.

6. Where can I get the NCERT Solutions for Maths Exercise 4.1 of Class 9?

Ans: When it comes to preparing for your exams, the NCERT Solutions are the most important study material that students must go through. They can download and refer to these Solutions while preparing for their exams. Vedantu’s NCERT Solutions for Chapter 4 Exercise 4.1 of Class 9 Maths are available for online as well as offline use for free. Students can find the answers to all questions from Chapter 4 in the Solutions. The solutions are available on the Vedantu Mobile app.

7. Is opting for the NCERT solutions for Ex 4.1 Class 9 Maths a good decision?

Ans: When it comes to exam preparation, the NCERT answers for Ex 4.1 Class 9 Maths are considered to be the finest alternative for CBSE students. There are a lot of exercises in this chapter. We've included the Exercise 4.1 Class 9 Maths NCERT answers in PDF format on this page. You may either download this answer or study it immediately from our website/app.

8. How can I have Class 9 NCERT Maths Solutions for reference?

Ans: The Vedantu Class 9 NCERT Maths Solutions are available in PDF format. To download the solutions, follow these steps: