Question

Яка пара чисел є розв'язком системи 2х-y=2,x+2y=-47

Answer 1

$\displaystyle\bf\\\left \{ {{2x-y=2 \ |\cdot 2} \atop {x+2y=-47}} \right. \\\\\\+\left \{ {{4x-2y=4} \atop {x+2y=-47}} \right. \\---------\\5x=-43\\\\x=-43:5\\\\x=-8,6\\\\y=2x-2=2\cdot(-8,6)-2=-17,2-2=-19,2\\\\\\Otvet \ : \ (-8,6 \ ; \ -19,2)$