Solve the System by the Elimination Method or a Combination $xy=13$

Multiple Choice

Solve the system by the elimination method or a combination of the elimination and substitution methods.
- $xy=13$
$2y^{2}-x^{2}=13$

A) $\{(2 \mathrm{i} \sqrt{13},-\mathrm{i} \sqrt{13}) ,(-2 \mathrm{i} \sqrt{13}, \mathrm{i} \sqrt{13}) ,(\sqrt{13}, \sqrt{13}) ,(-\sqrt{13},-\sqrt{13}) \}$

B) $\left\{\left\{-26,-\frac{1}{2}\right) ,(13,1) \right\}$

C) $\left\{\left\{\mathrm{i} \sqrt{26},-\frac{\mathrm{i} \sqrt{26}}{2}\right) ,\left(-\mathrm{i} \sqrt{26}, \frac{\mathrm{i} \sqrt{26}}{2}\right) ,(\sqrt{13}, \sqrt{13}) ,(-\sqrt{13},-\sqrt{13}) \right\}$

D) $\left\{\left\{\left(\mathrm{i} \sqrt{26},-\frac{\mathrm{i} \sqrt{26}}{2}\right) ,(\sqrt{13}, \sqrt{13}) \right\}\right.$