\(\text{7x- xy+ 2y= 18}\)
\(\Rightarrow xy-2y=7x-18\)
\(\Rightarrow y\left(x-2\right)=7x-18\)
\(\Rightarrow y=\dfrac{7x-18}{x-2}\)
\(=\dfrac{7x-14}{x-2}-\dfrac{4}{x-2}=7-\dfrac{4}{x-2}\)
\(x-2\in U\left(4\right)\) nếu \(y\in Z\)
Nếu x-2 = -2 \(\Rightarrow\) x = 0 ; y = 9
Nếu x-2 = -4 \(\Rightarrow\) x = -2 ; y = 8
Nếu x -2 = 2 \(\Rightarrow\) x = 4 ; y = 5
Nếu x-2 = 1 \(\Rightarrow\) x = 3 ; y = 3
Nếu x-2 = -1\(\Rightarrow\) x = 1 ; y = 11
Nếu x-2 = 4 \(\Rightarrow\) x = 6 ; y = 6