Question

Tìm các số nguyên x , y thỏa mãn:

xy+3x-y=6

Answer 1

\(\Leftrightarrow x\left(y+3\right)-\left(y+3\right)=3\Leftrightarrow\left(x-1\right)\left(y+3\right)=3\)

\(\left[{}\begin{matrix}\left\{{}\begin{matrix}x-1=1;x=2\\y+3=3;y=0\end{matrix}\right.\\\left\{{}\begin{matrix}x-1=-1;x=0\\y+3=-3;y=-6\end{matrix}\right.\\\left\{{}\begin{matrix}x-1=3;x=4\\y+3=1;y=-2\end{matrix}\right.\\\left\{{}\begin{matrix}x-1=-3;x=-2\\y+3=-1;y=-4\end{matrix}\right.\end{matrix}\right.\)

Answer 2

https://i.imgur.com/zP4iUAb.png