 \left \{ {{3x+2y=17\ /\cdot(-2)} \atop {5x+4y=-1\ \ \ \ \ \ \ }} \right. \\\\  \left \{ {{-6x-4y=-34} \atop {5x+4y=-1}} \right. \\-------\\-6x+5x=-34-1\\\\-x=-35\ /\cdot(-1)\\x=35\\\\3x+2y=17\ \ \ \Rightarrow\ \ \ 3\cdot35+2y=17\ \ \ \Rightarrow\ \ \ 2y=17-105\\\\2y=-88\ /:2\\y=-44\\\\ \left \{ {{x=35} \atop {y=-44}} \right. 