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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