Solve the System Algebraically $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 4 \\x + 2 y = 3\end{array}$$

question 13

Multiple Choice

Solve the system algebraically.
- $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 4 \\x + 2 y = 3\end{array}$$

• A) \(\left( \frac { 3 - 2 \sqrt { 11 } } { 5 } , \frac { 6 - \sqrt { 11 } } { 5 } \right)\) and \(\left( \frac { 3 + 2 \sqrt { 11 } } { 5 } , \frac { 6 + \sqrt { 11 } } { 5 } \right)\)
• B) \(\left\{ \frac { 3 - 2 \sqrt { 11 } } { 5 } , \frac { 6 + \sqrt { 11 } } { 5 } \right)\) and \(\left( \frac { 3 + 2 \sqrt { 11 } } { 5 } , \frac { 6 - \sqrt { 11 } } { 5 } \right)\)
• C) \(\left\{ \frac { 9 - 2 \sqrt { 11 } } { 5 } , \frac { 6 + 2 \sqrt { 11 } } { 5 } \right)\) and \(\left( \frac { 9 + 2 \sqrt { 11 } } { 5 } , \frac { 6 - 2 \sqrt { 11 } } { 5 } \right)\)
• D) \(\left( \frac { 3 - 4 \sqrt { 11 } } { 5 } , \frac { 6 + 2 \sqrt { 11 } } { 5 } \right)\) and \(\left( \frac { 3 + 4 \sqrt { 11 } } { 5 } , \frac { 6 - 2 \sqrt { 11 } } { 5 } \right)\)

Understand the role and incentives of bureaucrats and public-sector managers regarding budget and expenditure.

Clarify the reasons behind the growth of government expenditure as a percentage of GDP over time.

Describe the nature and significance of transfer payments in the government budget.

Examine the relationship between government policies, campaigning, and reelection efforts.