Question

Solve: $\frac{-4(2x-1)}{3-x}=\frac{4}{7}$.

• A. $\frac{13}{4}$
• B. $\frac{-13}{4}$
• C. $\frac{4}{13}$
• D. $\frac{-4}{13}$

Answer 1

The correct option is C $\frac{4}{13}$

Given, $\frac{-4(2x-1)}{3-x}=\frac{4}{7}$

$\Rightarrow$$\frac{-(2x-1)}{3-x}=\frac{1}{7}$ ...[Dividing $4$ on both sides]

$\Rightarrow$ $-14x+7=3-x$ …[Cross-multiplying the denominators]

$\Rightarrow$ $-13x=-4$ ...[Transposing $x$ terms to one side and simplifying]

$\Rightarrow$ $x=\frac{4}{13}$.

Hence, option $C$ is correct.