If $n \equiv 43 \pmod{60}$, then what is the residue of $n$ modulo 6?
If n≡43(mod60), then what is the residue of n modulo 6?
(1)n−43=60(2)n−x=m⋅6(1)−(2)n−43−n+x=60−m⋅6−43+x=60−m⋅6x=60+43−m⋅6x=103−m⋅6|m=17 lowest positive integerx=103−102x=1
the residue of n modulo 6 is 1