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
3x - 2x = 18 x = 18
To check:
3x = 2x -18 3x18 = 2x18+18 54 = 36+18 54 = 54 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 5t -3t = 5+3 2t =- 2
t= -2/2 = -1
To check:
5t 3 3t 5 5x(-1)- 3 = 3x(-1)- 5 - 5 - 3 = - 3- 5 - 8 = -8 L.H.S. = R.H.S.
Hence, it is correct.
Question 3:
Solve the following equations and check your results: 5x 9 53x
Answer 3:
5x + 9 = 5+3x 5x - 3x = 5- 9 2x = -4
To check:
5x 9 53x 5x(-2)+ 9 = 5 + 3x(-2) -10+9 = 5- 6 -1= -1 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
4z-2z=6-3
2z=3
z = 3/2
To check:
4z +3 = 6 + 2z
Hence, it is correct.
Question 5:
Solve the following equations and check your results: 2x -1=14- x
Answer 5:
To check
Hence, it is correct.
Question 6:
Solve the following equations and check your results: 
Answer 6:
To check:
Hence, it is correct.
Question 7:
Solve the following equations and check your results: 
Answer 7:
To check:
Hence, it is correct.
Question 8:
Solve the following equations and check your results: 
Answer 8:
x=30/3 =10
To check
Hence, it is correct.
Question 9:
Solve the following equations and check your results: 
Answer:
To check:
Hence, it is correct.
Question 10:
Solve the following equations and check your results: 
Answer 10:
To check:
Hence, it is correct.
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.
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