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aflati nr nat x si y astfel incat urm fractii sa formeze un sir de fractii echivalente. 2/3,x+1/6; 10/2y+1

Răspuns :

2/3 = x+1/6 =10/2y+1
2/3 = x+1/6 ⇒ 3(x+1)= 2*6⇒ 3(x+1)= 12⇒x+1=12:3 ⇒x+1=4⇒ 
⇒x=4-1⇒ x=3
2/3=10/2y+1⇒ 3*10= 2(2y+1)⇒ 30:2=2y+1⇒15=2y+1
⇒15-1=2y⇒14=2y⇒y=14:2⇒y=7