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Question 5In ...

Question

Question 5

In the following question out of the four options only one is correct, write the correct answer:

If $\frac{5 x}{3} - 4 = \frac{2 x}{5},$ then the numerical value of 2x-7 is:

(a) $\frac{19}{13}$

(b) $\frac{- 13}{19}$

(c) 0

(d) $\frac{13}{19}$

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Solution

Given, $\frac{5 x}{3} - 4 = \frac{2 x}{5} \Rightarrow \frac{5 x}{3} - \frac{2 x}{5} = 4 \Rightarrow \frac{25 x - 6 x}{15} = 4 \Rightarrow 19 x = 60 \Rightarrow x = \frac{60}{19} N o w, 2 x - 7 = 2 \times \frac{60}{19} - 7 = \frac{120 - 133}{19} = - \frac{13}{19}$
Hence, the numerical value of 2x-7 is $- \frac{13}{19} .$

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