Solve the Following System of Quadratic Equations Algebraically by the Method

question 24

Multiple Choice

Solve the following system of quadratic equations algebraically by the method of substitution.
$$\left\{ \begin{array} { l } - 4 x ^ { 2 } - 3 y ^ { 2 } + 48 = 0 \\- 4 x - 2 y = 0\end{array} \right.$$

• A) \(( \sqrt { 3 } , - 2 \sqrt { 3 } ) , ( \sqrt { 5 } , - 2 \sqrt { 5 } )\)
• B) \(( - \sqrt { 5 } , 2 \sqrt { 5 } ) , ( \sqrt { 5 } , - 2 \sqrt { 5 } )\)
• C) \(( - \sqrt { 5 } , - 2 \sqrt { 5 } ) , ( \sqrt { 5 } , - 2 \sqrt { 5 } )\)
• D) \(( - \sqrt { 3 } , - 2 \sqrt { 3 } ) , ( \sqrt { 3 } , 2 \sqrt { 3 } )\)
• E) \(( - \sqrt { 3 } , 2 \sqrt { 3 } ) , ( \sqrt { 3 } , - 2 \sqrt { 3 } )\)

---

Definitions:

Unified States

Political entities formed by the combination or unification of previously separate areas or jurisdictions, often to form a single sovereign nation.

Cognitive Declines

The gradual loss of cognitive abilities, including memory, attention, and executive functions, which can occur as part of the aging process.

MIDUS Study

The Midlife in the United States study, a national longitudinal study of health and well-being that examines the role of behavioral, psychological, and social factors in shaping health across the life course.

Physical Shape

The condition or state of a person's body in terms of fitness, health, and physical appearance.