Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } x ^ { 2 } - y ^ { 2 } = 25 \\16 x ^ { 2 } + 25 y ^ { 2 } = 400\end{array}$$

question 64

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } x ^ { 2 } - y ^ { 2 } = 25 \\16 x ^ { 2 } + 25 y ^ { 2 } = 400\end{array}$$

• A) \(( 0,4 ) , ( 0 , - 4 )\)
• B) \(( 0,5 ) , ( 0 , - 5 )\)
• C) \(( 5,0 ) , ( - 5,0 )\)
• D) \(( 4,0 ) , ( - 4,0 )\)

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Definitions:

Circulatory System

The body system consisting of the heart, blood vessels, and blood, responsible for transporting nutrients, oxygen, and wastes among cells and the external environment.

Connective Tissue

Tissue that supports, binds together, and protects tissues and organs of the body, characterized by few cells and a large amount of extracellular matrix.

Lymph

The colorless fluid within the lymphatic vessels that is derived from blood plasma; contains white blood cells; ultimately lymph is returned to the blood.

Erythrocytes

Red blood cells that transport oxygen and carbon dioxide between the lungs and tissues of the body.