If 3 (5x – 7) – 4 (8x – 13) = 2 (9x – 11) – 17, then the value of \frac{7x-5}{11x-9} is

CTET 2 Math and Science Feb 2016 Paper

Question : 59 of 120

Marks: +1, -0

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

{7x-5}/{11x-9}

Solution:

3(5x-7)-4(8x-13)=2(9x-11)-17

⇒15x-21-32x+52=18x-22-17

⇒-17x+31=18x-39

⇒18x+17x=31+39

⇒35x=70

∴{x}=\;\;{70}/{35}=2

Hence value of

\;\;{7x-5}/{11x-9}=\;\;{7×2-5}/{11×2-9}=\;\;{9}/{13}

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