__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: 14

*y*− 8 = 13
Solution:

14

*y*− 8 = 13
or, 14

*y*= 13 + 8
or, 14

*y*= 21
or, dividing both sides by 14, we get

Q11: Solve: 17 + 6

*p*= 9
Solution:

17 + 6

*p*= 9
Subtracting 17 from both sides or transposing 17 to R.H.S, we obtain

6

*p*= 9 − 17
or, 6

*p*= −8Q12: Solve:

Solution:

Subtracting 1 from both sides, we get

very knowledgible

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