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Determinati numarul solutiilor naturale ale ecuatiei xy + 2x + 3y=2010

Răspuns :

Rezolva pentru:x
xy + 2x + 3y=2010
xy+2x+3y+3y=2010+3yxy+2x=3y+2010
x(y+2)=3y+2010
[tex] \frac{x(y+2)}{y+2} = \frac{-3y+2010}{y+2} [/tex]
x=[tex]\frac{-3y+2010}{y+2}[/tex]