Solve the System $\left\{ \begin{array} { r } x ^ { 2 } + y ^ { 2 } = 49 \\x - y = 3\end{array} \right.$

question 99

Multiple Choice

Solve the system $\left\{ \begin{array} { r } x ^ { 2 } + y ^ { 2 } = 49 \\x - y = 3\end{array} \right.$ by substitution. Which of the following equations is the outcome, when substituting the equation $x - y = 3$ into $x ^ { 2 } + y ^ { 2 } = 49$ ?

• A) \(2 y ^ { 2 } + 9 = 49\)
• B) \(2 y ^ { 2 } + 6 y + 9 = 49\)
• C) \(2 y ^ { 2 } + y + 9 = 49\)
• D) \(2 y ^ { 4 } + 9 = 49\)

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Definitions:

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Expiratory Reserve

The volume of air that can be forcefully exhaled after the completion of a normal, quiet expiration.

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A lung disease that occurs when lung tissue becomes damaged and scarred, making it difficult for lungs to work efficiently.

Fibrous Connective Tissue

A type of connective tissue characterized by a high density of collagen fibers, providing strength and flexibility to structures such as tendons and ligaments.