[tex]\displaystyle\\
\left \{ {{1x-2y=-60~~~\Big| \cdot3} \atop {5x+6y=20~~~~~~~~~~}} \right\\\\\\
\left \{ {{3x-6y=-180} \atop {5x+6y=20~~~~}} \right\\
\text{- - - - - - - - - - - - - -}\\\\
8x ~~~~~~/~~~=-160\\\\
8x=-160\\\\
x= \frac{-160}{8} =\boxed{-20} \\\\
5x+6y=20\\\\
6y = 20 - 5x\\\\
y
= \frac{20 - 5x}{6} = \frac{20 - 5\cdot (-20)}{6}=\frac{20+ 100}{6}=\frac{120}{6}=\boxed{20}[/tex]