Answer
No solution
Work Step by Step
$2x+y = -12$
$-4x-2y = 30$
$2x+y = -12$
$2x+y-2x = -12-2x$
$y = -12-2x$
$-4x-2*(-12-2x) = 30$
$-4x +24 +4x =30$
$24 = 30$ (false statement)
Since $24\ne30$, there are no solutions to the system.