Question

ПОЖАЛУЙСТА ПОМОГИТЕ РЕШИТЬ СИСТЕМУ УРАВНЕНИЙ

Answer 1

$left { {{frac{12}{x}+frac{25}{y}=7} atop {frac{6}{x}+frac{5}{y}=2}} right. left { {{frac{25x+12y}{xy}=7} atop {frac{5x+6y}{xy}=2}} right. left { {{25x+12y=7xy} atop {5x+6y=2xy}} right. left {{} atop {|*(-5)}} right. left { {{25x+12y=7xy} atop {-25x-30y=-10xy}} right. |+left { {{5x+6y=2xy} atop {-18y=-3xy}} right.$

$left { {{5x+6y=2xy} atop {6y-xy=0}} right. left { {{5x+6y=2xy} atop {y(6-x)=0}} right.  left { {{30+6y=12y} atop {x=6}} right. left { {{-6y=-30} atop {x=6}} right. left { {{x=6} atop {y=5}} right.$

Ответ: $(6;5)$