\(7-2xy=5y-8x\\ \Rightarrow7-2xy-5y-8x=0\\ \Rightarrow7=2xy+5y+8x\\ \Rightarrow7=2xy+8x+5y\\ \Rightarrow2x\left(y+4\right)+5\left(y+4\right)=37\)
\(\Rightarrow\left(y+4\right)\left(2x+5\right)=37\)
2x+5 | 1 | 37 | -1 | -37 |
y+4 | 37 | 1 | -37 | -1 |
x | -2 | 16 | -3 | -21 |
y | 33 | -3 | -41 | -5 |
Vậy (x;y)=(-2;33);(16;-3);(-3;41);(-21;-5)