[tex] \left \{ {{-5x-2y=6\ \ | *3} \atop {3x+6y=6}} \right. \\\\ \left \{ {{-15x-6y=18} \atop {3x+6y=6}} \right. \\+----\\addition\\\\
-12x=24 \ \ \ \ | divide\ by\ -12\\\\
x=-2\\\\
2y=-5x-6\ \ \ | divide\ by\ 2\\\\
y=\frac{-5x-6}{2}\\\\
y=\frac{-5*(-2)-6}{2}=\frac{4}{2}=2[/tex]