Решить систему
[tex] \left \{ {{ \frac{1}{x}- \frac{1}{y}=5 } \atop { \frac{1}{x+y}=6[/tex]

y-x=5xyx+y=1/6  x=1/6-yy-1/6+y=5y(1/6-y)2y-1/6=5/6y-5y^25y^2+7/6y-1/6=030y^2+7y-1=0y=(-7+-13)/60y1=-1/3 x1=1/6+1/3=1/2y2=1/10 x2=1/6-1/10=1/15