Question

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

• A. $\frac{13}{19}$
• B. $0$
• C. $-\frac{13}{19}$
• D. $\frac{19}{13}$

Answer 1

The correct option is C $-\frac{13}{19}$

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 $-\frac{13}{19}$.