Class 8 Exam > Class 8 Notes > NCERT Solution (Ex- 2.1) - Chapter 2: Linear Equations in one variable, Maths, Class 8
NCERT Solution (Ex- 2.1) - Chapter 2: Linear Equations in one variable, Maths, Class 8 PDF Download
Linear Equations in One Variable
Exercise 2.1
Question 1:
Solve the following: x - 2= 7
Answer 1:
x -2 = 7
x - 2+ 2 = 7 + 2 [Adding 2 both sides] x = 9
Question 2:
Solve the following: y + 3=10
Answer 2:
y + 3 =10 y + 3 -3 = 10 – 3 [Subtracting 3 both sides] y = 7
Question 3:
Solve the following: 6 = z + 2
Answer 3:
6 = z + 2 6 - 2 = z + 2 - 2 [Subtracting 2 both sides] 4 = z z = 4
Question 4:
Solve the following: 
Answer 4:
[Subtracting 3/7 both sides]
x =2
Question 5:
Solve the following: 6x =12
Answer 5:
6x = 12
[Dividing both sides by 6]
x =2
Question 6:
Solve the following: t/5 =10
Answer 6:
t/5 =10
[Multiplying both sides by 5]
t= 50
Question 7:
Solve the following : 2x/3 =18
Answer 7:
2x/3 =18
[Multiplying both sides by 3]
2 x = 18 x 3
[Dividing both sides by 2]
x =27
Question 8:
Solve the following: 1.6 = y/1.5
Answer 8:
1.6 = y/1.5
[Multiplying both sides by 1.5]
2.40 =y y= 2.40
Question 9:
Solve the following: 7x - 9 = 16
Answer 9:
7x - 9 = 16
7x - 9 +9 =16+9 [Adding 9 both sides]
7x =25
[Dividing both sides by 7]
x= 25/7
Question 10:
Solve the following: 14y -8 =13
Answer 10:
14y-8=13
14y -8+8 =13+8 [Adding 8 both sides]
14y = 21
14y/14 = 21/14 [Dividing both sides by 14]
y=3/2
Question 11:
Solve the following: 17 + 6 p = 9
Answer 11:
17 + 6p = 9 17 + 6p -17 = 9 -17 [Subtracting 17 from both sides] 6p = -8
p = -8/6 [Dividing both sides by 6]
p= -4/3
Question 12:
Solve the following: 
Answer 12:
[Multiplying both sides by 3]
x=-8/5
FAQs on NCERT Solution (Ex- 2.1) - Chapter 2: Linear Equations in one variable, Maths, Class 8
| 1. What are linear equations? |  |
Ans. Linear equations are equations that can be written in the form ax + b = 0, where a and b are constants, and x is a variable. These equations represent straight lines on a graph and have only one variable.
| 2. How do you solve linear equations in one variable? | |
Ans. To solve a linear equation in one variable, we need to isolate the variable on one side of the equation. We can do this by performing the same operation on both sides of the equation. The operations include adding, subtracting, multiplying or dividing both sides of the equation by the same number.
| 3. What is the importance of linear equations in one variable? | |
Ans. Linear equations in one variable are important in real-life situations where we need to find an unknown value. These situations can include calculating the distance traveled by a car, finding the cost of a product, or determining the time taken to complete a task, among others.
| 4. Can linear equations have more than one solution? | |
Ans. Linear equations can have one solution, no solution, or infinitely many solutions. A linear equation with one solution has a unique value for the variable that satisfies the equation. A linear equation with no solution has no value for the variable that satisfies the equation. A linear equation with infinitely many solutions has multiple values for the variable that satisfy the equation.
| 5. How do you check the solution of a linear equation? | |
Ans. To check the solution of a linear equation, substitute the value of the variable found in the equation and simplify both sides. If the value satisfies the equation, then it is a valid solution. If the value does not satisfy the equation, then it is not a valid solution.
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