Question

срочно! алгебра! Реши систему уравнений методом алгебраического сложения.

Answer 1

$1)\\\left \{ {{a-3b=5}|*(-2) \atop {2a-4b=36}} \right.\\\\+\left \{ {{-2a+6b=-10} \atop {2a-4b=36}} \right. \\-------\\2b=26\\\\b=13\\\\a=5+3b=5+3*13=5+39=44\\\\Otvet:\boxed{(44 \ ; \ 13)}\\\\\\2)\\\left \{ {{\frac{x}{6} +\frac{y}{6}=2 } \atop {\frac{x}{16} +\frac{y}{8}=2 }} \right. \\\\\left \{ {{\frac{x}{6} *6+\frac{y}{6}*6=2*6 } \atop {\frac{x}{16}*16 +\frac{y}{8}*16=2*16 }} \right.\\\\\left \{ {{x+y=12}|*(-1) \atop {x+2y=32}} \right.$

$+\left \{ {{-x-y=-12} \atop {x+2y=32}} \right. \\-------\\y=20\\\\x=12-y=12-20=-8\\\\Otvet:\boxed{(-8 \ ; \ 20)}$