Question

Solve the following equations.

(a) 4 = 5 (p − 2) (b) − 4 = 5 (p − 2)

(c) 16 = 4 + 3 (t + 2) (d) 4 + 5 (p − 1) = 34

(e) 0 = 16 + 4 (m − 6)

Answer 1

(a) 4 = 5 (p − 2)

Dividing both sides by 5,

(b) − 4 = 5 (p − 2)

Dividing both sides by 5,

(c) 16 = 4 + 3 (t + 2)

16 − 4 = 3 (t + 2) (Transposing 4 to L.H.S.)

12 = 3 (t + 2)

Dividing both sides by 3,

4 = t + 2

4 − 2 = t (Transposing 2 to L.H.S.)

2 = t

(d) 4 + 5 (p − 1) = 34

5 (p − 1) = 34 − 4 = 30 (Transposing 4 to R.H.S.)

Dividing both sides by 5,

p = 6 + 1 = 7 (Transposing −1 to R.H.S.)

(e) 0 = 16 + 4 (m − 6)

0 = 16 + 4m − 24

0 = −8 + 4m

4m = 8 (Transposing −8 to L.H.S)

Dividing both sides by 4,

m = 2