brazil-enem 2012 Q166

brazil-enem · Other · enem__day2 Simultaneous equations
The supply and demand curves of a product represent, respectively, the quantities that sellers and consumers are willing to trade as a function of the product's price. In some cases, these curves can be represented by straight lines. Suppose that the quantities of supply and demand of a product are, respectively, represented by the equations: $$Q_{0} = -20 + 4P$$ $$Q_{D} = 46 - 2P$$ where $Q_{o}$ is the quantity supplied, $Q_{D}$ is the quantity demanded, and P is the price of the product.
From these supply and demand equations, economists find the market equilibrium price, that is, when $\mathrm{Q}_{\circ}$ and $\mathrm{Q}_{\mathrm{D}}$ are equal.
For the situation described, what is the value of the equilibrium price?
The supply and demand curves of a product represent, respectively, the quantities that sellers and consumers are willing to trade as a function of the product's price. In some cases, these curves can be represented by straight lines. Suppose that the quantities of supply and demand of a product are, respectively, represented by the equations:
$$Q_{0} = -20 + 4P$$
$$Q_{D} = 46 - 2P$$
where $Q_{o}$ is the quantity supplied, $Q_{D}$ is the quantity demanded, and P is the price of the product.

From these supply and demand equations, economists find the market equilibrium price, that is, when $\mathrm{Q}_{\circ}$ and $\mathrm{Q}_{\mathrm{D}}$ are equal.

For the situation described, what is the value of the equilibrium price?