Question

Question 5

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

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

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

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

(c) 0

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

Answer 1

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