Match the following :(a) x/2 = 10(i) x = 4(b) 20 = 6x - 4(ii) x = 1(c)

1.	Match the following :(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(A) (i), (ii), (iv), (iii), (v)(B) (iii), (iv), (i), (ii), (v)(C) (iii), (i), (iv), (v), (ii)(D) (iii), (i), (v), (iv), (ii)
Answer» (C) (iii),(i), (iv), (v), (ii) a. x/2 = 10, multiplying by 2 on both sides, we get x/2 x 2 = 10 x 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 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

Match the following :(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(A) (i), (ii), (iv), (iii), (v)(B) (iii), (iv), (i), (ii), (v)(C) (iii), (i), (iv), (v), (ii)(D) (iii), (i), (v), (iv), (ii)

Answer»

a. x/2 = 10,

multiplying by 2 on both sides, we get

x/2 x 2 = 10 x 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

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