Class :8th ,Chapter-2 :Linear Equation in one Variable

Chapter 2 : Linear equation in one variable

        Exercise : 2.1


Question  1:

Solve: x-2=7

Solution:

x − 2 = 7
Transposing 2 to R.H.S, we get
x = 7 + 2
= 9

Question 2:
Solve: y + 3 = 10

 Solution:

y + 3 = 10
Shifting 3 to R.H.S, we get
y = 10 – 3
= 7

 

Question 3:
Solve: 6 = z + 2

 Solution:

6 = z + 2
Shifting 2 to L.H.S, we get

6 − 2 = z
z = 4

 

Question 4:
Solve:3/7 + x =17/7

 Solution:

3/7+ x =17/7

Shifting 3/7 to R.H.S, we get
x = 17/7- 3/7

14/7= 2

 

Question 5:
Solve: 6x = 12

Solution:

6x = 12
On dividing both sides by 6, we get

6x/6=12/6

x = 2

 

Question 6:

t/5= 10

Solution:

t/5= 10
t = 50

 

Question 7:
Solve: 2x/3=18

Solution:

2x/3=18
Multiply both sides by 3/2 , we get

2x/3 × 3/2 = 18 × 3/2

x =27

 

Question 8:
Solve: 1.6 =y/1.5

 Solution:

1.6 =y/1.5

Multiply both sides by 1.5, we get
1.6×1.5 =y/1.5×1.5
2.40 = y
y =2.40

 

Question 9:
Solve: 7x – 9 = 16

Solution:

7x − 9 = 16
Shifting 9 to R.H.S, we get
7x = 16 + 9
7x = 25
x =25/7

 

Question 10:
Solve: 14y-8=13

 Solution:

14y − 8 = 13
Shifting 8 to R.H.S, we get
14y = 13 + 8
14y = 21
On dividing both sides by 14, we get

14y/14 = 21/14

y =3/2

 

 

Question 11:
Solve: 17 + 6p =9

 Solution:

17 + 6p = 9
Shifting 17 to R.H.S, we get
6p = 9 − 17
6p = −8
On dividing both sides by 6, we get

6p/6= -8/6

p = -4/3

 

 

Question 12:
Solve: x/3 +1 =7/15

 Solution:

x/3+1 = 7/15

Shifting 1 to R.H.S, we get

x/3=7/15-1

x/3=7-15/15

x/3= -8/15

Multiply both sides by 3, we get

x/3× 3 = -8/15 × 3
x = -8/15

 

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