Chapter 9: Linear Equation in One Variable Exercise – 9.2

Question: 1

Solve each of the following equations and also verify your solutions:

Solution:

 

Question: 2

Solve each of the following equations and also verify your solutions:

Solution:

 

Question: 3

Solve each of the following equations and also verify your solutions:

Solution:

 

Question: 4

Solve each of the following equations and also verify your solutions:

Solution:

 

Question: 5

Solve each of the following equations and also verify your solutions:

Solution:

 

Question: 6

Solve each of the following equations and also verify your solutions:

Solution:

 

Question: 7

Solve each of the following equations and also verify your solutions:

Solution:

 

Question: 8

Solve each of the following equations and also verify your solutions:

Solution:

= −39/4

Hence, L.H.S = R.H.S

 

Question: 9

Solve each of the following equations and also verify your solutions:

Solution:

= 9/6

= 3/2

 

Question: 10

Solve each of the following equations and also verify your solutions:

Solution:

Hence, L.H.S = R.H.S

 

Question: 11

Solve each of the following equations and also verify your solutions:

Solution:

 

Question: 12

Solve each of the following equations and also verify your solutions:

Solution:

Hence, L.H.S = R.H.S

 

Question: 13

Solve each of the following equations and also verify your solutions:

Solution:

 

Question: 14

Solve each of the following equations and also verify your solutions:

Solution:

 

Question: 15

Solve each of the following equations and also verify your solutions:

Solution:

Hence, L.H.S = R.H.S

 

Question: 16

Solve each of the following equations and also verify your solutions:

0.18(5x – 4) = 0.5x + 0.8

Solution:

0.18(5x – 4) = 0.5x + 0.8

=> 0.9x – 0.72 = 0.5x + 08

=> 0.9x – 0.5x = 0.8 + 0.72

=> 0.4x = 1.52

=> x = 1.52/0.4

= 3.8

Verification

L.H.S = 0.18(5(3.8) – 4)

= 0.18 × 15

= 2.7

R.H.S = 0.5(3.8) + 0.8

= 2.7

Hence, L.H.S = R.H.S

 

Question: 17

Solve each of the following equations and also verify your solutions:

Solution:

R.H.S = 1/12

Hence, L.H.S = R.H.S

 

Question: 18

Solve each of the following equations and also verify your solutions:

Solution:

 

Question: 19

Solve each of the following equations and also verify your solutions:

Solution:

 

Question: 20

Solve each of the following equations and also verify your solutions:

Solution:

 

Question: 21

Solve each of the following equations and also verify your solutions:

Solution:

 

Question: 22

Solve each of the following equations and also verify your solutions:

Solution:

= 3.3

Hence, L.H.S = R.H.S