Solve the System by Using Either the Substitution Method or the Elimination-By-Addition

question 224

Short Answer

Solve the system by using either the substitution method or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { r l l } \frac { 1 } { 2 } x &-& \frac { 1 } { 6 } y &= & - 1 \\\frac { 1 } { 2 } x &+ &\frac { 1 } { 4 } y &= & - 11\end{array} \right)$$ If the equations of the system are dependent, or if a system is inconsistent, so indicate. In those cases enter dependent or inconsistent . Otherwise, enter your answer as an ordered pair ( x , y ).

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Definitions:

Long Run Equilibrium

A state where all inputs can be adjusted by firms and all prices can fully adapt, leading to resource allocation where supply equals demand.

Industry

Refers to a specific sector of the economy that produces and distributes goods or services, such as the technology or pharmaceutical industry.

Short Run

A period in economic analysis during which some factors of production are fixed, allowing only some inputs or operations to be adjusted.

Price Discrimination

A pricing strategy where a seller charges different prices for the same product or service to different customers, based on what the seller believes each customer can afford or is willing to pay.