Use the Gauss-Jordan Method to Solve the System of Equations $\begin{array} { l } 4 x - 2 y - 10 = 0 \\8 x + y - 25 = 0\end{array}$

question 285

Multiple Choice

Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, give the
solution with y arbitrary.
$\begin{array} { l } 4 x - 2 y - 10 = 0 \\8 x + y - 25 = 0\end{array}$

• A) \(\{ ( - 3 y , y ) \}\)
• B) \(\varnothing\)
• C) \(\{ ( 3,1 ) \}\)
• D) \(\{ ( 2 , - 1 ) \}\)

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Definitions:

Consumer Surplus

The variance between the sum consumers are willing to shell out for a good or service and the sum they actually shell out.

Equilibrium Price

The price at which the quantity of a good or service demanded equals the quantity supplied, leading to a balance in the market.

Producer Surplus

The discrepancy between the price at which producers are prepared to offer a good or service and the price they actually obtain.

Demand Shifts

Refers to the change in the quantity demanded of a good or service at any given price, caused by factors other than the price of the good itself.