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sa se demonstreze ca ecuatia (3x+2) x (5y+3)=9 nu are solutii intregi

Răspuns :

(3x+3)·(5y+3)=9

15xy+9x+15y+9=9

15xy+15y+18=9

15xy+15y=9-18

15y(x+1)=-9

y(x+1)=-9/15

y(x+1)=-3/5

yx+y=-3/5

⇒ecuatia nu are solutii intregi