Question

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

Answer 1

$$\begin{gathered} \frac{9x}{7-6x}=15 \\ \Rightarrow \frac{9x}{7-6x}=\frac{15}{1} \\ \Rightarrow 1(9x)=15(7-6x)(\mathrm{by}\mathrm{cross}\mathrm{multiplication}) \\ \Rightarrow 9x=105-90x \\ \Rightarrow 9x+90x=105 \\ \Rightarrow 99x=105 \\ \Rightarrow x=\frac{105}{99}=\frac{35}{33} \\ \therefore x=\frac{35}{33} \end{gathered}$$