Without Graphing, Decide:
(A) Are the Graphs of the Equations $\left\{ \begin{array} { r } 5 x - y = 26 \\x + 5 y = 26\end{array} \right.$

question 130

Multiple Choice

Without graphing, decide:
(a) Are the graphs of the equations are identical lines, parallel lines, or lines intersecting at a single point?
(b) How many solutions does the system have?
- $\left\{ \begin{array} { r } 5 x - y = 26 \\x + 5 y = 26\end{array} \right.$

• A) parallel lines; no solution
• B) lines intersecting at a single point; one solution
• C) identical lines; infinite number of solutions

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Definitions:

Industry

A sector of the economy that involves the production and distribution of goods or services within a particular field.

Monopolistically Competitive Industry

Describes a market structure where many companies sell products that are similar but not identical, allowing for significant differentiation and some pricing power.

Excess Capacity

The situation in which a firm's actual production is less than its maximum possible production capacity.

Economic Profits

The surplus left after a firm has paid all its costs, including both explicit costs like wages and rent and implicit costs like the opportunity costs of capital.