Question

Решите систему уравнений

Answer 1

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