Question

Реши систему уровнения x +2y/10-x+4y/3=-8 2x-3y/2-x+y/6=0.

Answer 1

$left { {frac{x+2y}{10}-frac{x+4y}{3}=-8|*30} atop {frac{2x-3y}{2}-frac{x+y}{6}=0|*6}} right. left { {3(x+2y)-10(x+4y)=-30*8} atop {3(2x-3y)-(x+y)=0} right.left { {3x+6y-10x-40y=-240} atop {6x-9y-x-y=0} right.= textgreater \\= textgreater left { {{-7x-34y=-240|*5} atop {5x-10y=0|*7}} right. left { {{-35x-170y=-1200} atop {35x-70y=0}} right. = textgreater Skladivaem= textgreater \\= textgreater left { {{-240y=-1200} atop {35x-70y=0}} right.left { {{y=5} atop {35x-70*5=0}} right.left { {{y=5} atop {35x=70*5}} right.= textgreater$
$= textgreater left { {{y=5} atop {35x=350}} right. left { {{y=5} atop {x=frac{350}{35}}} right. left { {{y=5} atop {x=10}} right.$
Ответ:(10;5)