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Daca x,y ∈ N* si (x,y) =1 ,aflati x/y din proportile. 3x+y/y=8/5

Răspuns :

(3x+y)/y=8/5⇔3x/y+y/y=8/5⇒3x/y=8/5-1⇒3x/y=3/5 conditia(x,y)=1⇒x=1 si y=5