Question

Solve the following equations.

(a) (b) 5t + 28 = 10 (c)

(d) (e) (f)

(g) (h) 6z + 10 = − 2 (i)

(j)

Answer 1

(a)

(Transposing to R.H.S.)

Dividing both sides by 2,

(b) 5t + 28 = 10

5t = 10 − 28 = −18 (Transposing 28 to R.H.S.)

Dividing both sides by 5,

(c)

(Transposing 3 to R.H.S.)

Multiplying both sides by 5,

a = −1 × 5 = −5

(d)

(Transposing 7 to R.H.S.)

Multiplying both sides by 4,

q = −8

(e)

Multiplying both sides by 2,

5x = −10 × 2 = −20

Dividing both sides by 5,

(f)

Multiplying both sides by 2,

Dividing both sides by 5,

(g)

(Transposing to R.H.S.)

Dividing both sides by 7,

(h) 6z + 10 = −2

6z = − 2 − 10 = −12 (Transposing 10 to R.H.S.)

Dividing both sides by 6,

(i)

Multiplying both sides by 2,

Dividing both sides by 3,

(j)

(Transposing −5 to R.H.S.)

Multiplying both sides by 3,

2b = 8 × 3 = 24

Dividing both sides by 2,

b = = 12