Vì x,y nguyên nên \(\left\{{}\begin{matrix}2x+1,y-2\in Z\\2x+1,y-2\inƯ\left(-5\right)\end{matrix}\right.\)
Ta có bảng:
2x+1 | -5 | -1 | 1 | 5 |
y-2 | 1 | 5 | -5 | -1 |
x | -3 | -1 | 0 | 2 |
y | 3 | 7 | -3 | 1 |
Vậy \(\left(x,y\right)\in\left\{\left(-3;3\right);\left(-1;7\right);\left(0;-3\right);\left(2;1\right)\right\}\)