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

Nathan rode his bike
`2\ miles`

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`