Question

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)

Answer 1

(a) 3n − 2 = 46

Adding 2 to both sides of the given equation, we obtain

3n − 2 + 2 = 46 + 2

3n = 48

Dividing both sides of the given equation by 3, we obtain

n = 16

(b) 5m + 7 = 17

Subtracting 7 from both sides of the given equation, we obtain

5m + 7 − 7 = 17 − 7

5m = 10

Dividing both sides of the given equation by 5, we obtain

(c)

Multiplying both sides of the given equation by 3, we obtain

Dividing both sides of the given equation by 20, we obtain

(d)

Multiplying both sides of the given equation by 10, we obtain

Dividing both sides of the given equation by 3, we obtain

p = 20