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RS Aggarwal Solutions Class 6 Chapter-9 Linear Equations in One Variable (Ex 9C) Exercise 9.3

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Last updated date: 29th Mar 2024
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RS Aggarwal Solutions Class 6 Maths Chapter 9 Linear Equations Exercise 9.3 (Ex 9C)

Students of class 6 will get introduced to the chapter – Linear Equations, which have extensive usage at higher levels. Hence, from the very beginning, you must be familiar with the basic concepts to avoid difficulties in solving problems and future classes.

RS Aggarwal solutions class 6 maths exercise 9c, prepared by Vedantu, will assist students in getting familiar with the techniques to solve sums quickly. Well-experienced Mathematics tutors solve all the problems, and each and every step is explained, making it understandable for everyone.

Vedantu also provides free NCERT Solutions to all students. You can download NCERT Solutions Class 6 Science on Vedantu.com to score more marks in your examination.

RS Aggarwal Solutions Class 6 Maths Ex 9c Free PDF Download

In maths, equations with one degree are known as linear equations in one variable. The equation is separated by an equality sign where the expression on the left is called the left-hand side ( LHS ) and the expression on the right is called the right-hand side (RHS ). So, a number when you substitute a number in the variable to get LHS= RHS is known as the solution of the equation. It is expressed in the form of ax+b=0.  For example, 5x + 2= 12 is a linear equation having one variable, where x is the one variable and 5 & 2 are the real numbers. 

Vedantu provides RS Aggarwal Solutions to Class 6 Maths Chapter 9 Linear Equations Exercise 9.3 and all the other exercises for the students to learn and understand the chapter well. 

Given below is the link for RS Aggarwal Solutions Class 6 Chapter 9 Linear equation in one variable Exercise 9.3. 

RS Aggarwal Solutions Class 6 Chapter-9 Linear Equations in One Variable (Ex 9C) Exercise 9.3 - Free PDF (vedantu.com). We have even solved sample papers for student’s self evaluation and confidence boost in the subject.

Rules to be followed for Linear Equation

  1. If needed, we have to add the same number to both sides of the equation.

  2. If needed, we have subtract the same number from both sides of the equation.

  3. If needed, we can multiply non-zero numbers on both sides of an equation.

  4. If needed, we can divide non-zero numbers to both sides of an equation. 

While Solving an Equation, Certain Points to Keep in Mind Are 

  1. The value or a number when substituted in place of the variable in the given equation to make L.H.S.= R.H.S. It is called a Solution or Root of the given equation.

  2. Both numbers and variables can be transposed from one side of the equation to the other side for the sole purpose of solving the equation. When we transpose terms, the quantity value also changes, 

(a) + quantity becomes - 

(b) - quantity becomes +

(c) x quantity becomes / 

(d) / quantity becomes x

Types of Linear Equations 

There are three types of linear equations- 

  1. Linear equation in one variable 

  2. Linear equation in two variable 

  3. Linear equation in three variable 

Linear Equations in One Variable Class 6 RS Aggarwal Solutions Overview

RS Aggarwal Solutions Class 6 Maths Exercise 9c

Question 1 to 6: The first ten questions in RS Aggarwal class 6 solutions maths chapter 9c are direct linear equation problems. Here you need to calculate the value of ‘x’ by making changes in the L.H.S and R.H.S. Some of the sums are mentioned below:

  • 9 + x = 36

  • x + x + 1 + x + 2 = 114

  • 4x – 11 = 89

  • 17x + 4 = 225

Question 7: This linear equation question in R S Aggarwal class 6 maths ex 9c involves two variables, x, and y. Two linear equations, x – y = 18 and x + y = 92 are given, and you are supposed to find the value of the two variables. 

Question 8, 9, and 10: These three linear equation questions are again using only a single variable x, and you evaluate the same. You will find a detailed breakdown of the same in RS Aggarwal class 6 maths chapter 9 exercise 9c solutions.

Question 11 to 18: These questions of class 6 Maths RS Aggarwal ex 9c are sums, and you need to form the equations as per the statements given. For instance, you need to solve problems like: Reena is six years older than her brother. If the total of their ages is 28, what will be Reena and her brother’s actual age?

Question 19 to 24: These five questions in RS Aggarwal class 6 maths chapter exercise 9c solution PDF is a bit more critical than the earlier problem sums. Please go through the step by step solutions to have a proper grasp over the linear equation problems. So, without wasting more time, download Vedantu’s RS Aggarwal maths class 6 chapter 9 exercise 9c and achieve the desired scores in maths exams

FAQs on RS Aggarwal Solutions Class 6 Chapter-9 Linear Equations in One Variable (Ex 9C) Exercise 9.3

1. What are the units in class 6 Maths book by RS Aggarwal?

Class 6 maths book curated by RS Aggarwal contains twenty-four chapters. The names are Number System, Whole Numbers, Fractions, Factors and Multiples, Integers, Decimals, Simplifications, Algebraic Expressions, Linear Equations in One Variable, Line Segment, Ray and Line, Ratio, Proportions, and Unitary Methods, Constructions, Polygons, Angles and Their Measurement, Triangles, Three-Dimensional Shapes, Data Handling, Quadrilaterals, Pictograph, Two-Dimensional Reflection Symmetry, Circles, Constructions, Concept of Perimeter and Area and Bar Graph.

2. What is the dissimilarity between an equation and a function?

A function can be defined as mapping or transformation of a particular thing into another thing. For instance, you can write a function as a formula (f(x) = x2 or x -> x2). You can also depict it as a set of ordered pairs like {(1,1), (2, 4), (3,9),….} or it can be written in the form how an input related to the output. You must also note that functions do not necessarily mean using numbers; it can be used for words as well.

On the other hand, the equation is considered to be a declaration that two sides are equal. For instance, 32 = 9, which means when you calculate the square of 3, the result is 9.

3. What are the linear equation involving two variables?

Given two variables, the linear equation of the same can be expressed as ax + bx + c = 0, where a, b and c are constants, and x and y are variables. An equivalent form of the previous equation can be written as Ax + By = C, provided A = a, B = b and C = -c.

Note that these equivalent variants are specified by generic terms like standard or general form.

4. How to plot a linear equation on a graph?

Firstly, you need to find the y-intercept and mark the point. Secondly, utilise the slope to evaluate the second point. Finally, join the line connecting two points.

5. What are the steps to solve linear equations in one variable? 

Solving Linear Equation In One Variable


When you have to solve a Linear equation in one variable that always has only one solution, then the steps given below are followed.

  • Step 1: Find the LCM in case of fractions with different denominators. This is to remove fractions. 

  • Step 2: Simplify the equations down to the simplest and solvable form 

  • Step 3: Take the numbers to one side and the variable on one side.

  • Step 4: Solve the equation and get the result for the equating variable on the other hand. 

6. What are the topics covered in RS Aggarwal Class 6 Chapter 9? 

An equation whose degree is one or the maximum power is one in an equation, i.e The highest power of the variable in the given equation is one is called a linear equation in one variable. The topics covered are:

1. Introduction to Linear equation 

2. Standard form of linear equation in one variable 

3. Rules to follow while solving linear equation in one variable 

4. Applications of linear equation in one variable 

5. Reducing linear equations to their simplest forms 

7. Mention some important key features to keep in mind from RS Aggarwal Class 6 chapter 9 Linear equation in one variable. 

The major points to remember from this chapter are- 

  • Highest power of a linear equation in one variable is always one. 

  •  A linear equation can have just one or two variables in the equation. 

  • The linear equation is divided by an equality sign, where the left-hand side of the equation is called LHS and the right-hand side of the equation is called RHS. 

  • The standard formula used for calculating linear equation in one variable is ax+b=0 

Where x is the variable, a and b are the real numbers.