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Give the steps you will use to separate the variable and then solve the equation:
(a) 3n - 2 = 46   (b) 5m + 7 =17
(c) 20p/3 = 40   (d) 3p/10 = 6

Solution:

We use the basic concepts of simple linear equations to solve the problem.

The first step we use is to separate the variables in order to solve the equations.

Try to reduce the equation by adding, subtracting, multiplying, or dividing both sides of the equation by the same number to get the value of the variable.

(a) 3n - 2 = 46

Adding 2 to both sides of the equation, we get

3n - 2 + 2 = 46 + 2

3n = 48

Dividing both the sides by 3 we get,

3n/3 = 48/3

n = 16

(b) 5m + 7 = 17

Subtracting 7 from both sides of the equation, we get

5m + 7 - 7 = 17 - 7

5m = 10

Dividing both the sides by 5 we get,

5m/5 = 10/5

m = 2

(c) 20p/3 = 40

Multiplying both the sides by 3 we get,

(20p/3) × 3 = 40 × 3

20p = 120

Dividing both the sides by 20 we get,

20p/20 = 120/20

p = 6

(d) 3p/10 = 6

Multiplying both the sides by 10 we get,

(3p/10) × 10 = 6 × 10

3p = 60

Dividing both the sides by 3 we get,

(3p/3) = 60/3

p = 20

☛ Check: NCERT Solutions for Class 7 Maths Chapter 4

Video Solution:

Give the steps you will use to separate the variable and then solve the equation: (a) 3n - 2 = 46 (b) 5m + 7 =17 (c) 20p/3 = 40 (d) 3p/10 = 6

NCERT Solutions for Class 7 Maths Chapter 4 Exercise 4.2 Question 3

Summary:

The steps have been shown in the solution to separate the variable and then solve the equation: (a) 3n - 2 = 46; n = 16 (b) 5m + 7 =17; m = 2 (c) 20p/3 = 40; p = 6 (d) 3p/10 = 6; p = 20

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