Q. 44.4( 76 Votes )

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

Answer :

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


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