Answer :
[tex] \left \{ {{3x+5y=19} \atop {4x-2y=-18 \ |:2}} \right. \\\\ \left \{ {{3x+5y=19} \atop {2x-y=-9 \ |5}} \right. \\\\ \left \{ {{3x+5y=19} \atop {10x-5y=-45}} \right. \\ ....................... \\ 13x \ \ / \ \ \ =-26 \\\\ \boxed{x= -\frac{26}{13}= -2} \\\\\\\ 2x-y=-9 \\\\ 2*(-2)-y=-9 \\\\ -4-y=-9 \\\\ -y=-9+4 \\\\ -y=-5 \\\\ \boxed{y=5}[/tex]