Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
Dalton, a frequent business traveler, is considering signing up for a hotel rewards program.
Hotel Elegance is currently offering 228 points for signing up, plus 81 points for every night
Dalton books at the hotel. Alternatively, Hotel Paradiso is offering a sign-up bonus of 546
points, plus 80 points per night. If Dalton books a certain number of nights, the points he
earns with either hotel will be the same. How many nights will that be? How many points will
he have?
If he books__
nights, he will earn
___points at either hotel.