Question

/x+y=17
\4x+2y=46


решите систему уравнений способом сложения

Answer 1

Решение:
$\left \{ {{x + y = 17} \atop {4x + 2y = 46}} \right.$
$\left \{ {{x + y = 17} \atop {2x + y = 23}} \right.$
$\left \{ {{- x - y = - 17} \atop {2x + y = 23}} \right.$
$\left \{ {{- x - y = - 17} \atop {x = 6}} \right.$
$\left \{ {{x + y = 17} \atop {x = 6}} \right. ,\left \{ {{6 + y = 17} \atop {x = 6}}\right. , \left \{ {{y = 11} \atop {x = 6}}\right.$
Проверка:
6 + 11 = 17 - верно
4·6 + 2·11 = 46 - верно.
Ответ: (6; 11)