Question

Решите пожалуйста. Спасибо. Много баллов​

Answer 1

$\displaystyle \left \{ {{\frac{1}{5x-9y}+x=2 } \atop {\frac{x}{5x-9y}=-15 }} \right. \\\\ \left \{ {{\frac{1}{5x-9y}+x=2 } \atop {x=-75x+135y}} \right.\\\\ \left \{ {{\frac{1}{5x-9y}+x=2 } \atop {y=\frac{76}{135}x }} \right.\\\\ \frac{1}{5x-9*\frac{76}{135}x }+x=2\\\\ x=-3,x=5\\\\ y=\frac{76}{135}*(-3),y=\frac{76}{135}*5\\\\ y=-\frac{76}{45},y=\frac{76}{27}\\\\ (x_1,y_1)=(-3,-\frac{76}{45}),(x_2,y_2)=(5,\frac{76}{27})$