The math club sold slices of pizza peas at a profit of three dollars each and a can of soda S at two dollars each to raise money for your trip. They sold 200 items and made a profit of $550. Write the pair of linear equations that model this solution.

Equations represent the total number of items sold = 200
Equation to represent the total profit. 550

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

1) x + y = 200 (total number of items sold)
2) 3x + 2y = 550 (total profit)

These are the pair of linear equations that model this situation.