Class 8 Exam  >  Class 8 Notes  >  NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 PDF Download

Linear Equations in one variable

Exercise 2.3

Question 1:
 Solve the following equations and check your results: 3x = 2x +18
 Answer 1:

3x = 2x +18
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 3x - 2x = 18
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 x = 18
To check:
3x = 2x -18
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 3x18 =  2x18+18
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 54 = 36+18
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 54 = 54
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 L.H.S. = R.H.S.
Hence, it is correct.

Question 2:
 Solve the following equations and check your results: 5t - 3 = 3t - 5

Answer 2:
5t -3 = 3t - 5
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 5t -3t = 5+3
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 2t =- 2

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 t= -2/2 = -1

To check:
5t 3  3t 5
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 5x(-1)- 3 = 3x(-1)- 5
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 - 5 - 3 = - 3- 5
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 - 8 = -8
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 L.H.S. = R.H.S.
Hence, it is correct.

Question 3:
 Solve the following equations and check your results: 5x 9  53x

Answer 3:
5x + 9 = 5+3x
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 5x - 3x = 5- 9
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 2x = -4
To check:
5x 9  53x
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 5x(-2)+ 9 = 5 + 3x(-2)
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 -10+9 = 5- 6
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 -1= -1
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 L.H.S. = R.H.S.
Hence, it is correct.

Question 4:
 Solve the following equations and check your results: 4z +3 = 6 + 2z

Answer 4:

4z+3=6+2z

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 84z-2z=6-3

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 2z=3

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 z = 3/2

To check:
4z +3 = 6 + 2z

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

Hence, it is correct.

Question 5:
 Solve the following equations and check your results: 2x -1=14- x
 Answer 5:

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

To check

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

Hence, it is correct.

Question 6:
 Solve the following equations and check your results:  NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8
 Answer 6:

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

To check:

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

Hence, it is correct.

Question 7:
 Solve the following equations and check your results:  
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

Answer 7:

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

To check:

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

Hence, it is correct.

Question 8:
 Solve the following equations and check your results: 
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

Answer 8:

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 x=30/3 =10

To check

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

Hence, it is correct.

 

Question 9:
 Solve the following equations and check your results: 
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

Answer:

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

To check:

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

Hence, it is correct.

Question 10:
 Solve the following equations and check your results: 
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8
Answer 10:
NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

To check:

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

Hence, it is correct.

The document NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8 is a part of Class 8 category.
All you need of Class 8 at this link: Class 8

Top Courses for Class 8

FAQs on NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable, Maths, Class 8

1. What are linear equations in one variable?
Ans. Linear equations in one variable are equations that can be written in the form ax + b = 0, where x is the variable, a and b are constants. These equations represent a straight line in a graph, where the solution is the value of x that makes the equation true.
2. How do you solve a linear equation in one variable?
Ans. To solve a linear equation in one variable, we need to isolate the variable x on one side of the equation. We can do this by performing the same operation on both sides of the equation, such as adding or subtracting a constant, or multiplying or dividing by a constant. The solution is the value of x that satisfies the equation.
3. What is the importance of linear equations in one variable?
Ans. Linear equations in one variable are important in mathematics and many other fields such as physics, engineering, economics, and finance. They are used to model real-life situations and make predictions about future events. For example, they can be used to calculate the cost of a product based on the number of units sold, or to predict the trajectory of a projectile.
4. How can linear equations in one variable be applied in real life situations?
Ans. Linear equations in one variable can be applied in many real-life situations such as calculating the distance traveled by a car based on its speed and time, or determining the number of employees needed to complete a project based on the time it takes for one employee to complete a task. They are also used in finance to calculate interest rates and loan payments, and in physics to calculate motion and force.
5. How can one verify the solution of a linear equation in one variable?
Ans. To verify the solution of a linear equation in one variable, we can substitute the value of x in the original equation and check if it makes the equation true. For example, if we have the equation 2x + 3 = 7, and we want to verify if x = 2 is a solution, we can substitute x = 2 in the equation to get 2(2) + 3 = 7, which is true. Therefore, x = 2 is a solution to the equation.
Download as PDF
Explore Courses for Class 8 exam

Top Courses for Class 8

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

Class 8

,

Sample Paper

,

video lectures

,

Class 8

,

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable

,

past year papers

,

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable

,

Exam

,

Semester Notes

,

Previous Year Questions with Solutions

,

shortcuts and tricks

,

practice quizzes

,

NCERT Solution (EX - 2.3) - Chapter 2: Linear Equations in one variable

,

Viva Questions

,

Maths

,

Extra Questions

,

Class 8

,

Maths

,

pdf

,

study material

,

Important questions

,

Maths

,

Objective type Questions

,

Summary

,

ppt

,

mock tests for examination

,

Free

,

MCQs

;