Asked by Hunter Roberts on Apr 29, 2024

Verified

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

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