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

y-x=5xy x+y=1/6  x=1/6-y y-1/6+y=5y(1/6-y) 2y-1/6=5/6y-5y^2 5y^2+7/6y-1/6=0 30y^2+7y-1=0 y=(-7+-13)/60 y1=-1/3 x1=1/6+1/3=1/2 y2=1/10 x2=1/6-1/10=1/15