Solve the System by the Method of Elimination $$\left\{ \begin{array} { l } y ^ { 2 } - x ^ { 2 } = 8 \\x ^ { 2 } + y ^ { 2 } = 18\end{array} \right.$$

question 33

Multiple Choice

Solve the system by the method of elimination. $$\left\{ \begin{array} { l } y ^ { 2 } - x ^ { 2 } = 8 \\x ^ { 2 } + y ^ { 2 } = 18\end{array} \right.$$

• A)( \(\sqrt { 10 }\) , \(\sqrt { 26 }\) ), ( \(\sqrt { 10 }\) , \(\sqrt { 26 }\) ), ( \(\sqrt { 10 }\) , \(\sqrt { 26 }\) ), ( \(\sqrt { 10 }\) , \(\sqrt { 26 }\) )
• B)( \(\sqrt { 13 }\) , \(\sqrt { 5 }\) ), ( \(\sqrt { 13 }\) , \(\sqrt { 5 }\) ), ( \(\sqrt { 13 }\) , \(\sqrt { 5 }\) ), ( \(\sqrt { 13 }\) , \(\sqrt { 5 }\) )
• C)( \(\sqrt { 26 }\) , \(\sqrt { 10 }\) ), ( \(\sqrt { 26 }\) , \(\sqrt { 10 }\) ), ( \(\sqrt { 26 }\) , \(\sqrt { 10 }\) ), ( \(\sqrt { 26 }\) , \(\sqrt { 10 }\) )
• D)( \(\sqrt { 5 }\) , \(\sqrt { 13 }\) ), ( \(\sqrt { 5 }\) , \(\sqrt { 13 }\) ), ( \(\sqrt { 5 }\) , \(\sqrt { 13 }\) ), ( \(\sqrt { 5 }\) , \(\sqrt { 13 }\) )
• E)no solution exists

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