If 3 (5x – 7) – 4 (8x – 13) = 2 (9x – 11) – 17, then the value of (7 x – 5)/(11 x – 9) is

(a) -14/31
(b) -9/13
(c) 9/13
(d) 14/31

Anurag Mishra Professor Asked on 23rd February 2016 in Maths.
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1 Answer(s)

Answer: (c) 9/13

Solution:-
3 (5 x – 7) – 4 (8 x – 13) = 2 (9 x – 11) – 17
15 x – 21 – 32 x + 52 = 18 x – 22 – 17
– 17 x + 31 = 18 x – 39
18 x + 17 x = 31 + 39
35 x = 70
x = 70/35
x = 2

Then, the value of (7 x – 5)/(11 x -9)
Put the value of x = 2
Then, (7 x 2 – 5)/(11 x 2 – 9)
= (14 – 5)/(22 – 9)
= 9/13

Then,  the value of (7 x – 5)/(11 x -9) is 9/13.

Hence, the correct answer is option (c) 9/13.

Anurag Mishra Professor Answered on 25th February 2016.
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