If ((3x-2)/3) +((2x+3)/2) = x + 7/6, Then The Value of ((5x-2)/4) is:

  1. 1/4
  2. -1/12
  3. 1/12
  4. -1/3
Monis Rasool Professor Asked on 20th September 2015 in Maths.
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1 Answer(s)

Answer: (2) -1/12

Explanation:-
(3x – 2)/3 + (2x + 3)/2  = x + 7/6
{2(3x – 2) + 3(2x + 3)}/6 = (6x + 7)/6
6x – 4 + 6x + 9 = 6x + 7
12x + 5 = 6x + 7
12x – 6x = 7 – 5
6x = 2
x = 2/6
x = 1/3
Then, the value of (5x – 2)/4
Put the value of x = 1/3
Then, (5 x 1/3 – 2)/4
= (5 – 6)/12
= -1/12

Hence, the answer is (2) -1/12.

Anurag Mishra Professor Answered on 20th September 2015.
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