we have:
x -- number of miles that Miguel rode his bike
y -- number of miles that Nathan rode his bike
system of equations
[tex]\begin{gathered} x=5y-4 \\ x=6 \end{gathered}[/tex]then solve for y
[tex]\begin{gathered} 6=5y-4 \\ 6+4=5y-4+4 \\ 10=5y \\ \frac{10}{5}=\frac{5y}{5} \\ y=2 \end{gathered}[/tex]asnwer: A. 2 miles