3) Match
the following
a) x
– =10
2​

1 thought on “3) Match<br />the following<br />a) x<br /> – =10<br /> 2​”

1. Answer:

   I thought your question would be something like this

   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)

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

   Step-by-step explanation:

   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

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