# NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1

Every child should be able to comprehend the fundamental ideas behind turning any given circumstance into a Linear Equation. The NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1, are based on Linear Equations In Two Variables, include Math problems centred on converting statements into Linear Equations. Students can comprehend basic algebraic expressions and how they are created by practising problems in this exercise. The questions in NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1, are based on formulating Linear Equations and expressing them in terms of variables.

Students can benefit from using the NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1, to understand the fundamental algebraic ideas and abilities related to the subject of Linear Equations In Two Variables. Students can quickly master all crucial principles, such as translating a sentence into Linear Equations, by regularly practising these NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1. Even a scrollable PDF version of the NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1 based on Linear Equations In Two Variables is available on the Extramarks mobile application as well as the Extramarks website.

The relationship between two variables has been demonstrated using Linear Equations In Two Variables. The relationship between two variables and their graphical representation is described by these equations. For Linear Equations With Two Variables, there are two solutions, and the solutions form a line. The NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1 based on Linear Equations In Two Variables covers tasks on writing Linear Equations, finding solutions to Linear Equations, Graphing Linear Equations, and Graphical Depiction of Equations with lines parallel to the x and y axes.

Two-Variable Linear Equations are necessary for many algebraic concepts covered in higher grades. Numerous calculations from everyday life are also necessary, like figuring out earnings and estimating values. Students must therefore have a solid understanding of the subject.

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

Students should try completing the problems on their own first to make it easier to comprehend the NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1. Students can check out the NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1 to see how the subject specialists tackle problems if students are experiencing issues or are unsure how to accomplish them. Students will gain knowledge of efficient problem-solving techniques by studying the NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1.

Students can download the NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1. Students can download the PDF from the links below and use it to practice the NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1 without being online. These solutions provide students with a solid understanding of all the formulas along with the correct implementation of the formulas in a step-by-step manner.

### Access NCERT Solutions for Maths Chapter 4 – Linear Equations in Two Variables

The notion of Linear Equations in Two Variables is covered in NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1, which is based on the geometrical representation of equations of lines parallel to the x-axes and y-axes. A system of equations of the form ax+by+c=0, where a, b, and c are real integers, is known as Linear Equations in Two Variables. These equations may have a single solution, no solutions, or an infinite number of solutions. Students must first establish the values of the variables before they can identify the set of solutions to the Linear Equations With Two Variables. The NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1, dealt with the graphical representation of equations as lines parallel to x-axes and y-axes. A line parallel to the y-axis will have the form x=k, which denotes that any value of y has the same effect on x, and any constant value is used for k. Similar to this, a line parallel to the x-axis will have the form y=k, meaning that the value of y is constant regardless of the values of x and k.

Students can further access a more detailed version of the NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1 on the Extramarks website and mobile application.

### Exercise 4.1

When preparing for the CBSE Class 9 Mathematics examinations, NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1 based on Linear Equations in Two Variables is recommended, Extramarks offers thorough solutions. These questions from Chapter 4 of the NCERT Textbook have been compiled for student review by the subject-matter experts who create the NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1. All of the NCERT book questions are answered by Extramarks experts with complete accuracy. These NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1 are based on the most recent revision of the CBSE syllabus and its requirements. Completing these exercises will give students enough practice and help them become more adept at solving problems.

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

The NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1 can help students with their final examinations as NCERT textbooks are one of the most popular textbooks in India for students following the CBSE curriculum. When learning from NCERT books, especially in a subject like Mathematics, students find the principles to be incredibly simple to understand.

This is due to the fact that NCERT books use many examples drawn from real-world situations to simplify even the most complex ideas. The textbook’s standout feature is its use of a step-by-step methodology to answer issues, which makes learning easier for students.

Videos addressing the NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1, based on Linear Equations in Two Variables are accessible anytime, anyplace.

### Exercise 4.1

If students download the Extramarks application, it is even simpler and more convenient for them to ace the test. The theories and problems for the chapter are both available on the Extramarks website and Extramarks mobile application. The NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1 for Linear Equation in Two Variables can help clear all the students’ doubts.

### NCERT Solutions for Class 9

The solutions to all the questions in the Class 9 NCERT Maths textbook are provided in the NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1. The links provided further on the Extramarks page allow students to download PDFs of the chapter-by-chapter solutions to these mathematics problems. All of the topics covered in the NCERT textbook for Class 9 are covered in these NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1, including the Number System, Coordinate Geometry, Polynomials, Euclidean Geometry, Quadrilaterals, Triangles, Circles, Constructions, Surface Areas and Volumes, Statistics, Probability, Etc.

### CBSE Study Materials for Class 9

Students are also given access to other online learning resources, such as notes, books, question papers, exemplar problems, worksheets, etc., at Extramarks in addition to NCERT Solutions. These materials were created with consideration for the NCERT and CBSE curricula. Additionally, it is suggested that students practice the CBSE Class 9 Sample Papers to obtain a sense of the final exam’s question format.

Students can also access a wide range of NCERT Solutions, along with past years’ papers and sample question papers, on the Extramarks website. These learning resources can boost students’ exam preparation. The NCERT Solutions for Class 9 Maths contains 15 chapters. These Class 9 Maths NCERT chapters serve as a basis for Class 10 Math topics. Students can download the PDFs provided by Extramarks, which are available to everyone.

### CBSE Study Materials

Extramarks offers study materials for students of all grades from classes 1 to 12. These NCERT Solutions, examples, educational videos, and much more give students an idea of how the question may look like, and be practically ready for their upcoming examinations. Students can access the NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1.

Q.1 The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.

Ans
Let the cost of a notebook and a pen be x and y respectively.
Since, cost of a notebook = 2 x cost of a pen
x = 2y or x – 2y = 0
Which is required linear equation.

Q.2

$\begin{array}{l}\text{Express the following linear equations in the form}\\ \text{ax\hspace{0.17em}+\hspace{0.17em}by\hspace{0.17em}+\hspace{0.17em}c\hspace{0.17em}=\hspace{0.17em}0 and indicate the values of \hspace{0.17em}\hspace{0.17em}a,b\hspace{0.17em}\hspace{0.17em}and c in}\\ \text{each case:}\\ \left(\text{i}\right)\text{\hspace{0.17em}}2\mathrm{x}+3\mathrm{y}=9.3\overline{5}\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}}\left(\text{ii}\right)\text{\hspace{0.17em}}\mathrm{x}-\frac{\mathrm{y}}{5}-10=0\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}}\left(\text{iii}\right)\text{\hspace{0.17em}}-2\mathrm{x}+3\mathrm{y}=6\\ \left(\text{iv}\right)\text{\hspace{0.17em}}\mathrm{x}=3\mathrm{y}\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em} \hspace{0.17em}\hspace{0.17em}}\left(\text{v}\right)\text{\hspace{0.17em}}2\mathrm{x}=-5\mathrm{y}\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em} \hspace{0.17em}\hspace{0.17em}\hspace{0.17em}}\left(\text{vi}\right)\text{\hspace{0.17em}}3\mathrm{x}+2=0\\ \left(\text{vii}\right)\text{\hspace{0.17em}}\mathrm{y}-2=0\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em} \hspace{0.17em}\hspace{0.17em}\hspace{0.17em}}\left(\text{viii}\right)\text{\hspace{0.17em}}5=2\mathrm{x}\end{array}$

Ans

$\begin{array}{l}\left(\text{i}\right)\text{\hspace{0.17em}}2x+3y=9.3\overline{5}\\ \text{or}2x+3y-9.3\overline{5}=0\\ \text{Comparing with ax + by + c = 0, we get}\\ \text{a = 2, b = 3 and c =}-9.3\overline{5}\\ \left(\text{ii}\right)\text{\hspace{0.17em}}x-\frac{y}{5}-10=0\\ \text{Comparing with ax + by + c = 0, we get}\\ \text{a = 1, b =}-\frac{1}{5}\text{and c =}-10\\ \left(\text{iii}\right)\text{\hspace{0.17em}}-2x+3y=6\\ \text{or}\text{\hspace{0.17em}}\text{\hspace{0.17em}}-2x+3y-6=0\\ \text{Comparing with ax + by + c = 0, we get}\\ \text{a =}-2\text{, b =}3\text{and c =}-6.\\ \left(\text{iv}\right)x=3y\\ \text{or}\text{\hspace{0.17em}}\text{\hspace{0.17em}}x-3y=0\\ \text{Comparing with ax + by + c = 0, we get}\\ \text{a =}1\text{, b =}-3\text{and c =}\text{\hspace{0.17em}}0.\\ \left(\text{v}\right)\text{\hspace{0.17em}}2x=-5y\\ \text{or}2x+5y=0\\ \text{Comparing with ax + by + c = 0, we get}\\ \text{a}=2\text{, b}=5\text{and c}=\text{\hspace{0.17em}}0.\\ \left(\text{vi}\right)\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}3x+2=0\text{}\\ \text{or 3x}+0.y+2=0\\ \text{Comparing with ax + by + c = 0, we get}\\ \text{a}=3\text{, b}=0\text{and c}=\text{\hspace{0.17em}}2.\\ \left(\text{vii}\right)y-2=0\\ \text{or 0}\text{.x}+y-2=0\\ \text{Comparing with ax + by + c = 0, we get}\\ \text{a}=0\text{, b}=1\text{and c}=\text{\hspace{0.17em}}-2.\\ \left(\text{viii}\right)5=2x\\ \text{or}\text{\hspace{0.17em}}\text{\hspace{0.17em}}2x+0.y-5=0\\ \text{Comparing with ax + by + c = 0, we get}\\ \text{a}=2\text{, b}=0\text{and c}=\text{\hspace{0.17em}}-5.\end{array}$