Solve the Nonlinear System of Equations for Real Solutions $\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 13 \\x + y = 5\end{array} \right.$

question 110

Multiple Choice

Solve the nonlinear system of equations for real solutions.
- $\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 13 \\x + y = 5\end{array} \right.$

• A) \(( 3 , - 2 ) , ( 2 , - 3 )\)
• B) \(( - 3 , - 2 ) , ( - 2 , - 3 )\)
• C) \(( 3,2 ) , ( 2,3 )\)
• D) \(( - 3,2 ) , ( - 2,3 )\)

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Definitions:

Bromine

A halogen element with the symbol Br and atomic number 35, used in various chemical syntheses and as a flame retardant.

Propanal

An aldehyde with the chemical formula C3H6O, characterized by a short carbon chain with a terminal carbonyl group.

Benzoyl Chloride

A reactive organic compound used in organic synthesis, characterized by a benzene ring attached to a carbonyl chloride group.

Pka Values

A quantitative measure that indicates the strength of an acid in solution, representing the acid's ability to donate a proton.