[tex] \left \{ {{3x+2y=-13} \ |(-1) \atop {3x+4y=1}} \right. \\\\ \left \{ {{-3x-2y=13} \atop {3x+4y=1}} \right. \\ ======== \\\\ 2y=14 \\\\ \boxed{y=\frac{14}{2}=7}} \\\\ 3x+2y=-13 \\\\ 3x+2*7=-13 \\\\ 3x+14=-13 \\\\ 3x=-13-14 \\\\ 3x=-27 \\\\ \boxed{x=-\frac{27}{3}=-9}[/tex]