Question

Solve:
$\frac{6y-5}{2y}=\frac{7}{9}$

Answer 1

$$\begin{gathered} \frac{6y-5}{2y}=\frac{7}{9} \\ \Rightarrow 9(6y-5)=7(2y)(\mathrm{by}\mathrm{cross}\mathrm{multiplication}) \\ \Rightarrow 54y-45=14y \\ \Rightarrow 54y-14y=45 \\ \Rightarrow 40y=45 \\ \Rightarrow y=\frac{45}{40}=\frac{9}{8} \\ \therefore y=\frac{9}{8} \end{gathered}$$