Solve the System Algebraically $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 12 \\3 x - y = - 2\end{array}$$

question 157

Multiple Choice

Solve the system algebraically.
- $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 12 \\3 x - y = - 2\end{array}$$

• A) \(\left( \frac { - 3 + \sqrt { 29 } } { 5 } , \frac { 1 + 3 \sqrt { 29 } } { 5 } \right)\) and \(\left( \frac { - 3 - \sqrt { 29 } } { 5 } , \frac { 1 - 3 \sqrt { 29 } } { 5 } \right)\)
• B) \(\left\{ \frac { - 3 + 2 \sqrt { 29 } } { 5 } , \frac { 1 + 3 \sqrt { 29 } } { 5 } \right)\) and \(\left( \frac { - 3 - 6 \sqrt { 29 } } { 5 } , \frac { 1 - 6 \sqrt { 29 } } { 5 } \right)\)
• C) \(\left\{ \frac { - 3 + \sqrt { 29 } } { 5 } , \frac { - 7 + 3 \sqrt { 29 } } { 5 } \right)\) and \(\left( \frac { - 3 - \sqrt { 29 } } { 5 } , \frac { - 7 - 3 \sqrt { 29 } } { 5 } \right)\)
• D) \(\left( \frac { - 3 + \sqrt { 29 } } { 5 } , \frac { 1 - 3 \sqrt { 29 } } { 5 } \right)\) and \(\left( \frac { - 3 - \sqrt { 29 } } { 5 } , \frac { 1 + 3 \sqrt { 29 } } { 5 } \right)\)

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