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ecuatie in Z

Posted: Wed Mar 19, 2008 5:45 pm
by handleman
a)Rezolvati in multimea numerelor intregi ecuatia: 3xy+2x=5y+1.

Posted: Sun Mar 23, 2008 12:22 am
by Marius Dragoi
\( (3y+2)(3x-5)=-7 \)
\( 3y+2=-7 \Rightarrow y=-3 \Rightarrow x=2 \);
\( 3y+2=-1 \Rightarrow y=-1 \Rightarrow x=4 \);
\( 3y+2=1 \Rightarrow y \notin Z \);
\( 3y+2=7 \Rightarrow y \notin Z \).