[tex]\displaystyle\bf\\\left \{ {{x+4y=1} \atop {3x-2y=17} \ |\cdot 2} \right.\\\\\\+\left \{ {{x+4y=1} \atop {6x-4y=34}} \right.\\ ---------\\7x=35\\\\x=5\\\\4y=1-x=1-5=-4\\\\y=-4:4=-1\\\\Otvet: \ \Big(5 \ ; \ -1\Big)[/tex]