CBSE Mathematics Class VIII NCERT Solutions for Mathematics | Chapter 2, Linear Equations in One Variable | NCERT Textbook Exercise 2.1

Class 8, CBSE NCERT Mathematics Solution

Exercise 2.1 (Linear Equations in One Variable)

(page 23, 24)

Q1: Solve: x – 2 = 7

Solution:

 x − 2 = 7

Adding 2 to both sides or transposing 2 to R.H.S, we obtain

x = 7 + 2 = 9

Q2: Solve: y + 3 = 10

Solution:

y + 3 = 10

Subtracting 3 from both sides we obtain,

y + 3 – 3 = 10 – 3

Or, y = 7

Q3: 6 = z + 2

Solution:  (do it yourself)

Q4: Solve: 

Solution:  

Subtracting 3/7 from both sides or transposing 3/7 to R.H.S, we get

Q5: 6x = 12

Solution:

6x = 12

Dividing both sides by 6, we obtain

x = 12/6 = 2

Q6: Solve:

Solution:  

(Multiply both sides by 5)

Q7: Solve: 

Solution:

Q9: 7x – 9 = 16

Solution:

7x – 9 + 9 = 16 + 9 (adding 9 both sides)

or, x = 25/7

Q10: Solve: 14y − 8 = 13

Solution:

14y − 8 = 13

or, 14y = 13 + 8

or, 14y = 21

or, dividing both sides by 14, we get

Q11: Solve: 17 + 6p = 9

Solution:

17 + 6p = 9

Subtracting 17 from both sides or transposing 17 to R.H.S, we obtain

6p = 9 − 17

or, 6p = −8

Q12: Solve:

Solution: 

Subtracting 1 from both sides, we get