Meaghan goes to the grocery store to buy hot dogs and hamburgers for a cookout. She buys a total of 7 packages for a total of $25.83. If a package of hot dogs, d, costs $2.19 and a package of hamburgers, b, costs $5.69, determine how many packages of each she bought. Enter a system of equations to represent the situation, then solve the system.

The system of equations is .

Meaghan bought packages of hot dogs and packages of hamburgers.