A cab ride costs $5 for the first mile and $3.50 dollars for each additional mile. Amy's cab ride cost $19. How many miles was the ride?

Not quite!!

number of miles after the first ---- n
3.5n + 5 = 19
3.5n = 14
n = 4

So his ride was 5 miles.

check:
1(5) + 4(3.5) = 19

Amy's cab ride was 4.5 miles.