Answer
$(0,-2)$, $(6,1)$
Work Step by Step
Re-arrange the given equations to get
$x=2y+4$
$2y^2+(2y+4)y=8$
$ \implies y^2+y-2=0$
This gives: $ (y+2)(y-1)=0$
when $ y=-2$ gives: $x=-4+4=0$
when $ y=1$ gives: $x=2(1)+4=6$
Hence, our answers are: $(0,-2)$, $(6,1)$
