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Moderate

Linear and Nonlinear System

ACTMAT-TANCLN

Which of the following ordered pairs represent the solution to the system:

$$ \begin{cases} y=x+6 \\\ xy=16 \end{cases} $$

...where the solution is in the form $(x,y)$?

A

$(-8,-2) \text{ and } (2,8)$

B

$(-2,-8) \text{ and } (8,2)$

C

$(2,8) \text{ and } (8,2)$

D

$(2,8) \text{ and } (-2,-8)$

E

$(2,8), (-2,8), (2,-8), \text{ and } (-2,-8)$