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daca 17 divide 9x+5y dem ca 17 divide 14x+4y

Răspuns :

17 | 9x+5y ⇔ 17 | 14(9x+5y) ⇔ 17 | 9(14x+4y) + 34y
observam ca 17 | 34y, asta inseamna ca 17 | 9(14x+4y) ⇔ 17 | 14x+4y
c.c.t.d.