Give the steps you will use to separate the variable and then solve the equation:

(a) 3n – 2 = 46

(b) 5m + 7 = 17

(c)

(d)


The parts of the given question are solved below:


(a) Here,


We have to separate the variables


We have, 3n – 2 = 46


Adding 2 both the sides, we obtain


3n – 2 + 2 = 46 + 2


3n = 48


Dividing both sides by 3, we get,


Hence, n = 16


(b) Here,


We have to separate the variables


We have, 5m + 7 = 17


Subtracting 7 from both the sides, we obtain


5m + 7 – 7 = 17 – 7


5m = 10


Dividing both sides by 5, we get,


Hence,


m = 2


(c) Here,


We have to separate the variables


We have,


= 40


Multiplying 3 both the sides, we obtain


= 40 × 3


20p = 120


Dividing both sides by 20, we get



Hence,


This can be written as,


p = 6


(d) Here,


We have to separate the variables


We have,



Multiplying 10 both the sides, we obtain,



3p = 60


Dividing both sides by 3, we get,



Hence,


p = 20

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