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Solve the following system:

$${x}^{2}+{y}^{2}=25$$
$$x+y=1$$

A

$(0, 5)$

B

$(4, 3)$

C

$(-4, 3), (3, -4)$

D

$(4, -3), (-3, 4)$

E

$(5, -4), (0, -5)$

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