{x,y} i.p -> {[tex] \frac{1}{2}, \frac{1}{3} [/tex])
⇒x/1/1/2 = y/1/1/3 =k.
(1) x/1/1/2 = [tex] \frac{x}{1}* \frac{2}{1} = \frac{2x}{1}= 2x [/tex]
2x= k ⇒ x=[tex] \frac{k}{2} [/tex]
(2) y/1/1/3 = [tex] \frac{y}{1} * \frac{3}{1}= \frac{3y}{1}= 3y [/tex]
3y= k ⇒ y= [tex] \frac{k}{3} [/tex]
(1),(2)⇒[tex] \frac{ ^{3)} k}{2} + \frac{^{2)} k}{3} = 360~ ( ^{x)} = amplificare) \\ \frac{3k}{6} + \frac{2k}{6}=360 \\ \frac{5k}{6}= 360. \\ 5k= 2160 \\ \boxed {k=432.} \\ x= \frac{k}{2} = \frac{432}{2} \\ \boxed { x=216} \\ y= \frac{k}{3} = \frac{432}{3} \\ \boxed{ y=144 }[/tex]
