Solve the System of Equations $$\begin{array} { l } x ^ { 2 } + 4 y ^ { 2 } = 103 \\4 x ^ { 2 } - y ^ { 2 } = 4\end{array}$$

question 19

Multiple Choice

Solve the system of equations.
- $$\begin{array} { l } x ^ { 2 } + 4 y ^ { 2 } = 103 \\4 x ^ { 2 } - y ^ { 2 } = 4\end{array}$$

• A) \(\{ ( \sqrt { 7 } , 2 \sqrt { 6 } ) , ( - \sqrt { 7 } , 2 \sqrt { 6 } ) , ( \sqrt { 7 } , - 2 \sqrt { 6 } ) , ( - \sqrt { 7 } , - 2 \sqrt { 6 } ) \}\)
• B) \(\{ ( 7,24 ) , ( - 7,24 ) , ( 7 , - 24 ) , ( - 7 , - 24 ) \}\)
• C) \(\{ ( 2 \sqrt { 6 } , \sqrt { 7 } ) , ( 2 \sqrt { 6 } , - \sqrt { 7 } ) , ( - 2 \sqrt { 6 } , \sqrt { 7 } ) , ( - 2 \sqrt { 6 } , - \sqrt { 7 } ) \}\)
• D) \(\{ ( 24,7 ) , ( - 24,7 ) , ( 24 , - 7 ) , ( - 24 , - 7 ) \}\)

---

Definitions:

Assertive Action

A behavior characterized by confidently and firmly standing up for one's rights or needs without being aggressive.

Borderline Personality Disorder

A mental health disorder characterized by unstable moods, behavior, and relationships, often stemming from a fear of abandonment.

Treatment Plan

A tailored guide designed by healthcare providers outlining the strategy for treating a patient's specific health condition(s), including goals, modalities, and timelines.

Self-Cut

A harmful behavior involving intentionally inflicting cuts on one's own body, often as a coping mechanism for emotional pain or distress.