\(\frac{x}{5}+1=\frac{x+5}{5}=\frac{1}{y-1}\)
=>\(\left(x+5\right)\left(y-1\right)=5.1=\left(-5\right)\left(-1\right)\)
TH1: \(x+5=5\)=> \(x=0\)
\(y-1=1\)=> \(y=2\)
TH2: \(x+5=1\)=> \(x=-4\)
\(y-1=5\)=> \(y=6\)
TH3: \(x+5=-5\)=> \(x=-10\)
\(y-1=-1\)=> \(y=0\)
TH4: \(x+5=-1\)=> \(x=-6\)
\(y-1=-5\)=> \(y=-4\)