Solve the following equations:

(a) 10p = 100

(b) 10p + 10 = 100

(c)

(d)

(e)

(f) 3s = –9

(g) 3s + 12 = 0

(h) 3s = 0

(i) 2q = 6

(j) 2q – 6 = 0

(k) 2q + 6 = 0

(l) 2q + 6 = 12

The parts of this question are solved below:

(a) Here,

We have to find the value of p

Thus,

10p = 100

Now,

Dividing both sides by 10, we get:

=

Therefore,

p = 10

(b) Here,

We have to find the value of p

Thus,

10p + 10 = 100

10p = 100 – 10

10p = 90

Now,

Dividing both sides by 10, we get:

=

Therefore,

p = 9

(c) Here,

We have to find the value of p

Thus,

= 54

Now,

Multiplying both sides by 4, we get:

= 5 × 4

Therefore,

p = 20

(d) Here,

We have to find the value of p

Thus,

= 5

Now,

Multiplying both sides by -3, we get:

= 5 × -3

Therefore,

p = - 15

(e) Here,

We have to find the value of p

Thus,

= 6

Now,

Multiplying both sides by 4, we get:

= 6 × 4

=

Therefore,

p = 8

(f) Here,

We have to find the value of s

Thus,

3s = -9

Now,

Dividing both sides by 3, we get:

=

Therefore,

s = -3

(g) Here,

We have to find the value of s

Thus,

3s + 12 = 0

= 3s + 12 – 12 = 0 – 12

3s = -12

Now,

Dividing both sides by 3, we get:

=

Therefore,

s = -4

(h) Here,

We have to find the value of s

Thus,

3s = 0

Now,

Dividing both sides by 3, we get:

=

Therefore,

s = 0

(i) Here,

We have to find the value of q

Thus,

2q = 6

Now,

Dividing both sides by 2, we get:

=

Therefore,

q = 3

(j) Here,

We have to find the value of q

Thus,

2q – 6 + 6 = 0 + 6

2q = 6

Now,

Dividing both sides by 2, we get:

=

Therefore,

q = 3

(k) Here,

We have to find the value of q

Thus,

2q + 6 - 6 = 0 - 6

2q = - 6

Now,

Dividing both sides by 2, we get:

=

Therefore,

q = - 3

(l) Here,

We have to find the value of q

Thus,

2q + 6 - 6 = 12 - 6

2q = 6

Now,

Dividing both sides by 2, we get:

=

Therefore,

q = 3