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Let's consider the number of pizza slices sold as p and the number of cans of soda sold as s.
The profit from selling pizza slices would be 3p.
The profit from selling cans of soda would be 2s.
The total profit from selling pizza slices and cans of soda is $550, so we have the equation:
3p + 2s = 550
Also, the total number of items sold is 200, so we have the equation:
p + s = 200
Therefore, the pair of linear equations that model this situation are:
3p + 2s = 550
p + s = 200