Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
Dr. Elliott, a pediatrician, has 1 annual checkup and 3 sick visits scheduled next Tuesday, which will fill a total of 109 minutes on his schedule. Next Wednesday, he has 1 annual checkup and 2 sick visits on the schedule, which should take 88 minutes. How much time is allotted for each type of appointment?
The time allotted is ___ minutes for an annual checkup and ___ minutes for a sick visit.
