Question

Match the following :

Column A	Column B
(a) `x/2` = 10	(i) x = 4
(b) 20 = 6x − 4	(ii) x = 1
(c) 2x − 5 = 3 − x	(iii) x = 20
(d) 7x − 4 − 8x = 20	(iv) x = `8/3`
(e) `4/11 - x = (-7)/11`	(v) x = −24

Options

• (i), (ii), (iv), (iii), (v)

• (iii), (iv), (i), (ii), (v)

• (iii), (i), (iv), (v), (ii)

• (iii), (i), (v), (iv), (ii)

Answer 1

(iii), (i), (iv), (v), (ii)

Explanation; 

Hint:

(a) `x/2` = 10, multiplying by 2 on both sides, we get

`x/2 xx 2` = 10 × 2

⇒ x = 20

(b) 20 = 6x – 4 by transposition ⇒ 20 + 4 = 6x

6x = 24 dividing by 6 on both sides,

`(6x)/6 = 24/6`

⇒ x = 4

(c) 2x – 5 = 3 – x

By transposing the variable ‘x’, we get

2x – 5 + x = 3

by transposing – 5 to other side,

2x + x = 3 + 5

∴ 3x = `8, (3x)/3 = 8/3`

∴ x = `8/3`

(d) 7x – 4 – 8x = 20

by transposing – 4 to other side,

7x – 8x = 20 + 4

– x = 24

∴ x = – 24

(e) `4/11 - x = (-7)/11`

Transposing `4/11` to other side,

– x = `(-7)/11 (-4)/11`

= `(-7 - 4)/11`

= `(-11)/11`

= – 1

∴ – x = – 1

⇒ x = 1