\(x\cdot y=8\)
\(\Rightarrow x;y\inƯ\left(8\right)\)
\(\Rightarrow x;y\in\left\{-1;1;-2;2;-4;4;-8;8\right\}\)
\(\left(x-2\right)\left(y+3\right)=15\)
\(\Rightarrow\left(x-2\right);\left(y+3\right)\inƯ\left(15\right)\)
\(\Rightarrow\left(x-2\right);\left(y+3\right)\in\left\{-1;1;-3;3;-5;5-15;15\right\}\)
ta có bảng :
| x-2 | -1 | 1 | -3 | 3 | -5 | 5 | -15 | 15 |
| y+3 | -15 | 15 | -5 | 5 | -3 | 3 | -1 | 1 |
| x | 1 | 3 | -1 | 5 | -3 | 7 | -13 | 17 |
| y | -18 | 12 | -8 | 2 | -6 | 0 | -4 | -2 |
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