Bổ sung đk: \(x,y\in \mathbb{Z}\)
\(2xy+4x-y=37\\ \Leftrightarrow2x\left(y+2\right)-y-2=35\\ \Leftrightarrow\left(y+2\right)\left(2x-1\right)=35=35.1=\left(-35\right)\left(-1\right)=7.5=\left(-7\right)\left(-5\right)\)
| 2x-1 | 35 | 1 | -35 | -1 | 7 | 5 | -7 | -5 |
| y+2 | 1 | 35 | -1 | -35 | 5 | 7 | -5 | -7 |
| x | 18 | 1 | -17 | 0 | 4 | 3 | -3 | -2 |
| y | -1 | 33 | -3 | -37 | 3 | 5 | -7 | -9 |
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