Question

-6x + 2y = 4

4x + y = -5

Answer 1

$\begin{cases}-6x+2y=4\\4x+y=-5\end$

$\begin{cases}-3x+y=2\to y=2+3x\\4x+y=-5\end{cases}$

$4x+2+3x=-5\\\\7x=-7\\\\\boxed{x=-1}$

$4x+y=-5\\\\4\cdot(-1)+y=-5\\\\-4+y=-5\\\\\boxed{y=-1}$

$\boxed{S=\{-1,-1\}}$