\(\frac{a}{5}+1=\frac{1}{b-1}\Leftrightarrow a+\frac{5}{5}=\frac{1}{b-1}\Leftrightarrow\left(a+5\right)\left(b-1\right)=5.1\)
\(\Leftrightarrow\left(a+5\right)\left(b-1\right)=5.1=-5.\left(-1\right)=-1.\left(-5\right)\)
| a+5 | 5 | 1 | -5 | -1 |
| b-1 | 1 | 5 | -1 | -5 |
| a | 0 | -4 | -10 | -6 |
| b | 2 | 6 | 0 | -4 |