Question

розвязати систему рівняньх/у+у/х=5/2    х+у=3

Answer 1

$left { {{ frac{x}{y} + frac{y}{x} = frac{5}{2} } atop {x+y=3}} right. \ left { {{ frac{3-y}{y}+ frac{y}{3-y}= frac{5}{2} } atop {x=3-y}} right. \ left { {{ frac{3y-y^2+3y-y^2}{y(3-y)}=2,5 } atop {x=3-y}} right. \ left { {{ frac{6y-2y^2}{y(3-y)}=2,5 } atop {x=3-y}} right. \ left { {{ frac{6-2y}{3-y}=2.5 } atop {x=3-y}} right. \ left { {{6-2y-2.5(3-y)=0} atop {x=3-y}} right. \ left { {{6-2y-7.5+2.5y=0} atop {x=3-y}} right.$
$left { {{0.5y=1.5} atop {x=3-y}} right. \ left { {{y= frac{1.5}{0.5}=3 } atop {x=3-3=0}} right.$