You are given a pair of supply and demand equations;...

You are given a pair of supply and demand equations; identify which is supply and which demand. Plot both on the same set of axes and find the point of market equilibrium.
$$\begin{aligned}
&p-3 x-200=0\\
&2 p+5 x-950=0
\end{aligned}$$

Key Concepts

Graphical Analysis

Graphical analysis in economics involves plotting the supply and demand curves on the same set of axes to visually determine the equilibrium point. This visual method complements algebraic solutions and enhances the understanding of how different market forces interact.

System of Linear Equations

A system of linear equations involves two or more linear equations with the same set of variables. In the context of supply and demand, the system represents the quantitative relationships described by the supply and demand curves, and solving it yields the equilibrium price and quantity.

Market Equilibrium

Market equilibrium is the point where the supply and demand curves intersect. At this point, the quantity supplied equals the quantity demanded, meaning that the market clears and there is no surplus or shortage.

Demand Curve

A demand curve is a graphical representation that illustrates the relationship between the price of a good and the quantity that consumers are willing to purchase. It generally slopes downward, indicating that consumers typically buy more at lower prices and less at higher prices.

Supply Curve

A supply curve is a graphical representation that shows the relationship between the price of a good and the quantity that producers are willing to offer for sale. It typically slopes upward, reflecting the idea that higher prices incentivize producers to supply more of the good.

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