Question

Solve: $\frac{9x}{7-6x}=15$

• A. $x=\frac{23}{18}$
• B. $x=\frac{35}{33}$
• C. $x=\frac{5}{3}$
• D. $x=\frac{7}{13}$

Answer 1

The correct option is B $x=\frac{35}{33}$

Given, $\frac{9x}{7-6x}=15$
Multiplying both sides by $(7-6x)$, we get
$(7-6x)\times \frac{9x}{7-6x}=(7-6x)\times 15$
$\Rightarrow 9x=105-90x$
$\Rightarrow 9x+90x=105$ ...[Transposing $90x$ to LHS]
$\Rightarrow 99x=105$
$\Rightarrow x=\frac{105}{99}=\frac{35}{33}$
Hence, $x=\frac{35}{33}$ is the solution of the given equation.