## NCERT Solutions for Maths Class 9 Linear Equations in Two Variables Chapter 4 - FREE PDF Download

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

**1. How do Vedantu’s NCERT Solutions for Maths Class 9 Chapter 4 help all the students to score good marks?**

The solutions are written in simple and easy-to-understand language keeping in mind every kind of the students.

If there is any complicated solution, that is broken down into simple steps to make it understandable for every student to grasp the concept in less time.

The solutions are updated as per the latest NCERT curriculum and guidelines.

It covers the entire syllabus and concept in the form of solutions.

The answers are treated systematically and in an interesting manner.

The content is designed in a concise manner, which is brief and self-explanatory.

Some answers include necessary infographics and images to facilitate the understanding of the concept.

It is handy and serves as a note during exam revision.

The solutions are kept easy for you to solve maximum questions and get a command of the chapter. Also, it Improves the problem solving speed

**2. What can I learn from Maths Class 9 Chapter 4?**

In this chapter, the knowledge of linear equations in one variable is recalled and extended to that of two variables. Any equation which can be put in the form ax + by + c = 0, where a, b and c are real numbers, and a and b are not both zero, is defined as a linear equation in two variables. The NCERT solutions for Class 9 Maths provide chapter-wise answers of the questions asked in the exercises in the textbook and students can get the command over this Linear Equation concept of Algebra with the help of easy examples provided.

**3. Give me an overview of the chapter.**

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 the x-axis and y-axis

**4. How many exercises are there in this chapter?**

The Chapter 4 named Linear Equation in Two Variables Class 9 is divided into five sections and four exercises. Below is the list of exercises along with the number and types of questions.

**Exercise 4.1:**2 Questions (1 Short Answer, 1 Main Question with 8 short answer questions)

**Exercise 4.2:**4 Questions (2 MCQs, 1 Main Questions with 3 equations, 1 Short Answer Questions)

**Exercise 4.3:**8 Questions (4 Long Answer Questions, 2 Short Answer Questions, 1 MCQ, 1 Main Question with 5 Part Questions)

**Exercise 4.4:**2 Questions (1 main question with 2 sub-section, 1 Main question with 2 sub-section)

**5. What are all the important topics that need to be covered to score in Class 9 Maths Chapter 4?**

The topics that you must not miss in order to fully complete the Class 9 Maths Chapter 4 Linear Equations in Two Variables are - expressing linear equations in Ax + By + C = 0; different solutions of a linear equation with two variables; graph of a linear equation in two variables; and equations of the line parallel to x-axis and y-axis. To get clarity of these concepts, you need to solve all examples and exercise questions.

**6. Where can I get the best solutions for Class 9 Maths Chapter 4? **

Vedantu is the best place to get free solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables. Vedantu’s website and Vedantu app offers a comprehensive and detailed NCERT Solutions Class 9 Maths Chapter 4 Linear Equations in Two Variables that has explanations to all the different sub-topics. These solutions have complete step by step solutions to the examples and exercises that will give clarity to all the concepts. These are prepared by experts who have decades of experience, so these solutions are credible and up to date.

**7. Is Chapter 4 of Linear Equation in Two Variables of Class 9 Maths tough?**

No, the NCERT Class 9 Mathematics Linear Equation in Two Variables is not difficult for those who thoroughly practise the chapter. Your main aim should be to finish the chapter thoroughly, including all examples, exercise questions, and other questions. NCERT Solutions Class 9 Maths Chapter 4 Linear Equations in Two Variables by Vedantu is the best resource for completing Class 9 Maths Chapter 4 without problem.

**8. How can I solve Class 9 Maths Chapter 4?**

You can easily solve Class 9 Maths Chapter 4 Linear Equations in Two Variables with the help of Vedantu’s NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables. These solutions have full solved numerical problems step by step that will help you in clearing your concepts. You can also get access to many miscellaneous questions that will enhance your base even further.

**9. Can the graph of a linear equation with two variables be a curve?**

No, the graph of a two-variable linear equation cannot be a curve. The path is always straight. Get the greatest companion available only at Vedantu for additional NCERT Class 9 Mathematics Chapter 3 questions that will assist you in completing comprehensive exercises along with examples and random questions. You may obtain entire solutions to the exercises by downloading the NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry.

10. How do you know if an equation is linear in two variables?

A linear equation in two variables is of the form 𝑎𝑥+𝑏𝑦+𝑐=0 where a, b, and 𝑐 are real numbers, 𝑥 and 𝑦 are the variables. The equation is considered linear because the highest power of the variables x and y is 1.

11. Can linear equations have 2 answers?

A linear equation in two variables has infinitely many solutions, represented by the points on a line in a Cartesian plane. Each point on the line is a solution to the equation. However, a single linear equation does not have just two specific answers but a continuum of solutions.

12. What are the steps in solving linear equations in two variables?

The steps to solve a system of linear equations in two variables typically involve:

Graphical Method: Plotting both equations on a graph and finding the point of intersection.

Substitution Method: Solving one equation for one variable and substituting this into the other equation.

Elimination Method: Adding or subtracting the equations to eliminate one variable, making it possible to solve for the other variable.

13. What is a linear equation cannot have?

A linear equation cannot have:

Variables with exponents other than 1 (e.g., 𝑥2 or 𝑦3)

Products of variables (e.g., 𝑥𝑦).

Variables in the denominator. (e.g., 1/𝑥).

Linear equations must maintain the variables to the first degree and should not involve any form of non-linear terms.