\(\frac{x}{5}+1=\frac{1}{y-1} \)
\(\frac{x}{5}+\frac{5}{5}=\frac{1}{y-1}\)
\(\frac{x+5}{5}=\frac{1}{y-1}\)
\(\Rightarrow\) (x+5)(y-1) =5
\(\Rightarrow\left(x+5\right)\)và (y-1) \(\in\)Ư(5)
x+5 | 1 | 5 | -1 | -5 |
y-1 | 5 | 1 | -5 | -1 |
x | -4 | 0 | -6 | -10 |
y | 6 | 2 | -4 | 0 |
Vậy (x,y)={(-4,6);(0,2);(-6,-4);(-10,0)}