\(2xy-6x+3y=-6\)
\(\Leftrightarrow2xy-6x+3y-9=-15\)
\(\Leftrightarrow2x\left(y-3\right)+3\left(y-3\right)=-15\)
\(\Leftrightarrow\left(2x+3\right)\left(y-3\right)=-15\)
Ta có bảng:
| 2x+3 | -15 | -5 | -3 | -1 | 1 | 3 | 5 | 15 |
| y-3 | 1 | 3 | 5 | 15 | -15 | -5 | -3 | -1 |
| x | -9 | -4 | -3 | -2 | -1 | 0 | 1 | 6 |
| y | 4 | 6 | 8 | 18 | -12 | -2 | 0 | 2 |
Vậy \(\left(x;y\right)=\left(-9;4\right);\left(-4;6\right);\left(-3;8\right);\left(-2;18\right);\left(-1;-12\right);\left(0;-2\right);\left(1;0\right);\left(6;2\right)\)
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