Solve the Nonlinear System of Equations for Real Solutions $\left\{ \begin{array} { r } x ^ { 2 } + 3 y ^ { 2 } = 8 \\y = x\end{array} \right.$

question 97

Multiple Choice

Solve the nonlinear system of equations for real solutions.
- $\left\{ \begin{array} { r } x ^ { 2 } + 3 y ^ { 2 } = 8 \\y = x\end{array} \right.$

• A) \(( \sqrt { 2 } , \sqrt { 2 } )\)
• B) \(( \sqrt { 2 } , \sqrt { 2 } ) , ( - \sqrt { 2 } , - \sqrt { 2 } )\)
• C) \(( \sqrt { 2 } , - \sqrt { 2 } ) , ( - \sqrt { 2 } , \sqrt { 2 } )\)
• D) \(( \sqrt { 2 } , - \sqrt { 2 } )\)

---

Definitions:

Time Deposits

Bank deposits with a fixed term or period of maturity, during which the depositor can not withdraw funds without penalty.

T-bills

Short for Treasury bills, these are short-term government securities with maturity periods of one year or less, considered safe investments as they are backed by the credit of the government.

Financial Instruments

Assets that can be traded, including stocks, bonds, derivatives, and currencies.

U.S. Government

The federal government of the United States, a constitutional republic comprising the Executive, Legislative, and Judicial branches.