Question

Match each of the entries in Column I with the appropriate entries in Column II.

Column I	Column II
(i) x + 5 = 9	(A) `- 5/3`
(ii) x – 7 = 4	(B) `5/3`
(iii) `x/12` = –  5	(C) 4
(iv) 5x = 30	(D) 6
(v) The value of y which satisfies 3y = 5	(E) 11
(vi) If p = 2, then the value of `1/3 (1 - 3p)`	(F) – 60
	(G) 3

Answer 1

Column I	Column II
(i) x + 5 = 9	(C) 4
(ii) x – 7 = 4	(E) 11
(iii) `x/12` = –5	(F) –60
(iv) 5x = 30	(D) 6
(v) The value of y which satisfies 3y = 5	(B) `5/3`
(vi) If p = 2, then the value of `1/3 (1 - 3p)`	(A) `- 5/3`

Explanation:

(i) Given equation is x + 5 = 9

⇒ x = 9 – 5  .....[Transposing 5 to RHS]

⇒ x = 4

(ii) Given equation is x – 7 = 4

⇒ x = 4 + 7  .....[Transposing (–7) to RHS]

⇒ x = 11

(iii) Given equation is `x/12` = –5

⇒ `12 xx x/12 = - 5 xx 12`  ......[Multiplying both sides by 12]

⇒ x = – 60

(iv) Given equation is 5x = 30

⇒ `(5x)/5 = 30/5`  .....[Dividing both sides by 5]

⇒ x = 6

(v) Given equation is 3y = 5

⇒ `(3y)/3 = 5/3` .....[Dividing both sides by 3]

⇒ y = `5/3`

(vi) Given, p = 2

Put the value of p in the equation = `1/3 xx (1 - 3p)`, we get

= `1/3 (1 - 3 xx 2)`

= `1/3 xx (1 - 6)`

= `1/3 xx (-5)`

= `- 5/3`