The math club sold slices of pizza, P at a profit of three dollars each and cans of sold it, S at two dollars each to raise money for a trip. They sold 200 items and made a profit of $550. Write the pair of linear equations that model the situation.

Let x represent the number of slices of pizza sold and y represent the number of cans of soda sold.

The first equation represents the total profit made from selling slices of pizza and cans of soda:
3x + 2y = 550

The second equation represents the total number of items sold:
x + y = 200

Therefore, the pair of linear equations that model the situation are:
3x + 2y = 550
x + y = 200