Solve the Nonlinear System of Equations $$\left\{ \begin{array} { l } x ^ { 2 } + 4 y ^ { 2 } = 5 \\x - y = - 3\end{array} \right.$$

question 129

Multiple Choice

Solve the nonlinear system of equations.
- $$\left\{ \begin{array} { l } x ^ { 2 } + 4 y ^ { 2 } = 5 \\x - y = - 3\end{array} \right.$$

• A) \(( 0,0 )\)
• B) \(\left( \frac { 3 + \sqrt { 29 } } { 5 } , \frac { - 12 + \sqrt { 29 } } { 5 } \right) , \left( \frac { 3 + \sqrt { 29 } } { 5 } , \frac { - 12 - \sqrt { 29 } } { 5 } \right) , \left( \frac { 3 - \sqrt { 29 } } { 5 } , \frac { - 12 + \sqrt { 29 } } { 5 } \right) , \left( \frac { 3 - \sqrt { 29 } } { 5 } , \frac { - 12 - \sqrt { 29 } } { 5 } \right)\)
• C) \(\left( \frac { - 12 + \sqrt { 29 } } { 5 } , \frac { 3 + \sqrt { 29 } } { 5 } \right) , \left( \frac { - 12 + \sqrt { 29 } } { 5 } , \frac { 3 - \sqrt { 29 } } { 5 } \right) , \left( \frac { - 12 - \sqrt { 29 } } { 5 } , \frac { 3 + \sqrt { 29 } } { 5 } \right) , \left( \frac { - 12 - \sqrt { 29 } } { 5 } , \frac { 3 - \sqrt { 29 } } { 5 } \right)\)
• D) \(\varnothing\)

---

Definitions:

Open Market Operations

Central bank activities involving the buying and selling of government securities in the market to influence the supply of money.

Reserve Requirements

Regulations set by central banking authorities that determine the minimum amount of reserves that banks must hold against deposits.

Lending Ability

The capacity of financial institutions to provide loans to individuals or businesses, based on available capital and regulatory constraints.

United States Government Securities

Financial instruments issued by the federal government to finance its budget deficits and raise capital, including Treasury bonds, notes, and bills.