Question

Решите систему уравнений

Answer 1

$\left \{ {{ \frac{6}{x-y} + \frac{15}{x+y}=2 } \atop { \frac{24}{x-y}- \frac{25}{x+y} =-9 }} \right. \\ \\ a= \frac{6}{x-y} ;b= \frac{5}{x+y} \\ \\ \left \{ {{a+3b=2} \atop {4a-5b=-9}} \right. \\ \\ \left \{ {{-4a-12b=-8} \atop {4a-5b=-9}} \right. \\ \\ 17b=17 \\ \\ b=1;a=2-3b=2-3=-1 \\ \\ \left \{ {{ \frac{6}{x-y}=-1 } \atop { \frac{5}{x+y}=1 }} \right. \\ \\ \left \{ {{6=y-x} \atop {5=x+y}} \right. \\ 2y=11;y=5.5 \\ x=5-5.5=-0.5 \\ \\ OTVET:(-0.5;5.5)$