If Possible, Solve the System of Equations $$\begin{array} { l } \frac { 1 } { 4 } x + \frac { 1 } { 4 } y = 1 \\\frac { 1 } { 2 } x - \frac { 1 } { 2 } y = - 1\end{array}$$

question 13

Multiple Choice

If possible, solve the system of equations. Use any method. If there is not a unique solution to a system, say why.
- $$\begin{array} { l } \frac { 1 } { 4 } x + \frac { 1 } { 4 } y = 1 \\\frac { 1 } { 2 } x - \frac { 1 } { 2 } y = - 1\end{array}$$

• A) \((\)\quad )\)
• B) \((\),\quad )\)
• C) No solution; inconsistent system of equations
• D) \(( - 1,4 )\)

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Definitions:

Nominal Interest Rate

The rate of interest before adjustments for inflation, representing the face value of interest payments.

Inflation-adjusted Value

The value of money after accounting for changes in price level over time, adjusting figures to reflect current purchasing power.

Equilibrium Interest Rate

The interest rate at which the demand for money in an economy equals the supply of money, establishing a state of balance in the financial markets.

Real Rate

The interest rate adjusted for inflation, reflecting the true cost of borrowing or the true return on an investment.