\(A)\) \(\dfrac{\text{3}}{\text{x }}=\dfrac{\text{1}}{\text{3}}=\dfrac{\text{y}}{\text{3}}\)
\(\text{⇒}\dfrac{\text{3}}{\text{x}}=\dfrac{y}{3}-\dfrac{1}{\text{3}}\)
\(=>\dfrac{\text{3}}{\text{x }}=\dfrac{\text{y − 1}}{\text{3}}\)
\(⇒ x y − x = 9\)
\(⇒ x ( y − 1 ) = 9\)
\(-------\)
\(B)\) \(\dfrac{\text{x}}{\text{6}}\) \(-\) \(\dfrac{\text{1}}{\text{y }}\) \(=\) \(\dfrac{\text{1}}{\text{2}}\)
\(=>\) \(\dfrac{\text{1}}{\text{y}}\) \(=\) \(\dfrac{\text{x}}{\text{6}}\) \(-\) \(\dfrac{\text{1}}{\text{2}}\)
\(=>\) \(\dfrac{\text{1}}{\text{y}}=\dfrac{\text{x}}{\text{6}}-\dfrac{3}{6}\)
\(=>\dfrac{1}{y}=\dfrac{x-3}{6}\)
\(⇒ y . ( x − 3 ) = 6\)