\(x,y\in Z\Rightarrow\left\{{}\begin{matrix}x-1,3-y\in Z\\x-1,3-y\inƯ\left(-7\right)=\left\{\pm1;\pm7\right\}\end{matrix}\right.\)
Ta có bảng:
x-1 | -1 | 1 | -7 | 7 |
3-y | 7 | -7 | 1 | -1 |
x | 0 | 2 | -6 | 8 |
y | -4 | 10 | 2 | 4 |
Vậy \(\left(x,y\right)\in\left\{\left(0;-4\right);\left(2;10\right);\left(-6;2\right);\left(8;4\right)\right\}\)