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Aflati x si y nr nat stiind ca x divide y si 5x+7y=76

Răspuns :

x|y⇒y=x×k, k apartine N

5x+7y=76
5x+7x×k=76
x(5+7k)=76

76=1×76=2×38=4×19

x=1⇒ k nu apartine N
x=2⇒ k nu apartine N
x=4⇒ k=2

y=2×4=8