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: $(6;5)$