Question

If $\frac{8}{4x+1}=\frac{6}{5x-1}$, find $x$.

• A. $\frac{8}{7}$
• B. $\frac{7}{8}$
• C. $\frac{-7}{8}$
• D. $\frac{-8}{7}$

Answer 1

Answer: (B)

$\frac{7}{8}$

Given, $\frac{8}{4x+1}=\frac{6}{5x-1}$.

Cross-multiplying the denominators, we get,
$⟹8(5x-1)=6(4x+1)$
$⟹40x-8=24x+6$ ...{By Distribution Law].

Transposing $x$ terms to one side, we get,

$⟹40x-24x=6+8$
$⟹16x=14$

$⟹x=\frac{14}{16}$ = $\frac{7}{8}$.

Hence, option $B$ is correct.