Đáp án:
$\left \{ {{(3x+2)(2y-3)=6xy} \atop {(4x+5)(y-5)=4xy}} \right.$
⇔$\left \{ {{6xy-9x+4y-6=6xy} \atop {4xy-20x+5y-25=4xy}} \right.$
⇔$\left \{ {{-9x+4y=6} \atop {-20x+5y=25}} \right.$
⇔$\left \{ {{-45x+20y=30} \atop {-80x+20y=100}} \right.$
⇔$\left \{ {{35x=-70} \atop {-9x+4y=6}} \right.$
⇔$\left \{ {{x=-2} \atop {-9.(-2)+4y=6}} \right.$
⇔$\left \{ {{x=-2} \atop {y=-3}} \right.$
Vậy hệ pt có nghiệm duy nhất là (x;y)=(-2;-3)
