Do \(5⋮5\Rightarrow5\left(a+b\right)⋮5\)
- Nếu \(\left(4a+b\right)⋮5\)
\(\Rightarrow5\left(a+b\right)-\left(4a+b\right)⋮5\)
\(\Rightarrow\left(a+4b\right)⋮5\)
- Nếu \(\left(a+4b\right)⋮5\)
\(\Rightarrow5\left(a+b\right)-\left(a+4b\right)⋮5\)
\(\Rightarrow\left(4a+b\right)⋮5\)
Vậy \(\left(4a+b\right)⋮5\Leftrightarrow\left(a+4b\right)⋮5\)