4. Solve the following equations:

(a) 10p = 100

(b) 10p + 10 = 100

(c) p /4 = 5

(d) – p/3 = 5

(e) 3 p/4 = 6

 (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

Answers (1)

(a) Divide both sides by 10, we get :

                              p\ =\ 10

(b) Transposing 10 to the RHS, we get :

                            10p\ =\ 100\ -\ 10\ =\ 90

Now, dividing both sides by 10 gives  :       p\ =\ 9

(c) Multiplying both sides by 4, we have :

                             p\ =\ 20

(d) Multiplying both sides by - 3 , we have  :

                        p\ =\ 15   

(e) Multiplying both sides by \frac{4}{3}, we have :

                        p\ =\ 8

(f) Dividing both sides by 3, we have :

                        s\ =\ -3

(g)  Transposing 12 to the RHS and then dividing both sides by 3, we have :

                         s\ =\ -4

(h) Dividing both sides by 3, we get :

                          s\ =\ 0

(i) Dividing both sides by 2, we get :

                         q\ =\ 3

(j)  Transposing - 6 to the RHS and then dividing both sides by 2, we get  :

                         q\ =\ 3  

(k) Transposing 6 to the RHS and then dividing both sides by 2, we get  :

                         q\ =\ -\ 3  

(l) Transposing  6 to the RHS and then dividing both sides by 2, we get  :

                         q\ =\ 3  

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