Question

Miguel rode his bicycle 4 miles less than 5 times the number of miles that Nathan rode. If Miguel rode his bicycle 6 miles, how many miles did Nathan ride?

Answer 1

5n-4 = 6 gives the equation for 5 times #Nathan rode less 4 miles which solves to n = 2
Nathan rode 2 miles. (5*2)-4 = 6   10-4=6 so 2 miles is right

Answer 2

Answer:

Nathan rode his bike $2\ miles$

Step-by-step explanation:

Let

x-----> number of miles that Miguel rode his bike

y-----> number of miles that Nathan rode his bike

we know that

$x=5y-4$ -----> equation A

$x=6\ mi$ -----> equation B

equate equation A and equation B and solve for y

$6=5y-4$

$5y=6+4$

$5y=10$

$y=2\ mi$