\(2xy+4x-y=5\)
\(\Rightarrow2x\left(y+2\right)-y=5\)
\(\Rightarrow2x\left(y+2\right)-\left(y+2\right)=3\)
\(\Rightarrow\left(2x-1\right)\left(y+2\right)=3\)
Ta có bảng sau:
| 2x - 1 | 1 | 3 | -1 | -3 |
| y + 2 | 3 | 1 | -3 | -1 |
| x | 1 | 2 | 0 | -1 |
| y | 1 | -1 | -5 | -3 |
Vậy cặp số \(\left(x;y\right)\) là \(\left(1;1\right);\left(2;-1\right);\left(0;-5\right);\left(-1;-3\right)\)