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