\[\begin{array}{l}
3x - 5y = 3\left( {x + 3y} \right) - 14y\\
x + 3y\,\, \vdots \,\,7 \Rightarrow 3\left( {x + 3y} \right)\,\, \vdots \,\,7\\
14\,\, \vdots \,\,7 \Rightarrow 14y\,\, \vdots \,\,7\\
\Rightarrow 3\left( {x + 3y} \right) - 14y\,\, \vdots \,\,7\\
\Rightarrow 3x - 5y\,\, \vdots \,\,7
\end{array}\]