Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
At an ice cream store, a family ordered 6 banana splits and 4 hot fudge sundaes, paying a
total of $44 for their order. The next customer ordered 4 banana splits and 3 hot fudge
sundaes and paid $31. How much does each item cost?
A banana split costs $_
and a hot fudge sundae costs $_