Learning outcome: solve a linear system of equations in two and three variables using algebraic methods. read and solve word problems by modeling them with systems of linear equations. activity: let p represent the selling price for a bluetooth device. suppose that the demand equation for this device can be modeled as the linear function d(p) = 200- 5p and that the supply equation for the same device as s(p) = 10p. find the equilibrium price and quantity for this device keeping in mind that at market equilibrium demand equals supply.

Equilibrium price would be $13.33 and equilibrium quantity  would be 133.3 units.

Step-by-step explanation:

Since we have given that

Demand function is stated as

Supply function is stated as

We need to find the equilibrium price and quantity for this device.

For equilibrium, D(p) = S(p).

so, it becomes,

and when we put the value of p in any function:

Hence, Equilibrium price would be $13.33 and equilibrium quantity  would be 133.3 units.

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