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Solve the following model for the prices of two goods, tea and coffee, demonstrating that one gets the same answer by using either variable elimination or matrix algebra. You must use both methods. Show all steps. The price of tea is Pt and the price of coffee is Pc. Quantities are assumed to adjust outside the model.

Pt=8Pc-16
Pc=2Pt-13

Are the goods substitutes or compliments?

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