[tex]\bf \begin{array}{llll}
5x-14y=74&\implies &~~5x-14y=74\\
-x-6y=38&\boxed{\times 5}\implies &-5x-30y=190\\
&&--------\\
&&~~0x-44y=264
\end{array}
\\\\\\
-44y=264\implies y=\cfrac{264}{-44}\implies \boxed{y=-6}\\\\
-------------------------------\\\\
5x-14y=74\implies 5x-14(-6)=74\implies 5x+84=74
\\\\\\
5x=-10\implies x=\cfrac{-10}{5}\implies \boxed{x=-2}[/tex]
