Verified answer

[tex]\displaystyle\bf\\\left \{ {{5x-y=-15 \ |\cdot 2} \atop {3x+2y=4}} \right. \\\\\\+\left \{ {{10x-2y=-30} \atop {3x+2y=4}} \right. \\----------\\13x=-26\\\\x=26:(-13)\\\\\boxed{x=-2}\\\\y=15+5x=15+5\cdot(-2)=15-10=5\\\\\boxed{y=5}\\\\\\Otvet \ : \ (-2 \ ; \ 5)[/tex]