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Systems of Linear Equations

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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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A system of linear equations are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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This system is
(1)
(2)

By substitution method, we ...

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