y - 3 = x
x^2 - 6x + 13 = y
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y = x + 3
x^2 - 6x + 13 = x + 3
x^2 - 7x + 10 = 0
x^2 - 5x - 2x + 10 = 0
x (x - 5) - 2 (x - 5) = 0
(x - 2) (x - 5) = 0
x = 2, or x = 5
The answers choices only have one solution where x = 2 or x = 5, so the answer is (2, 5).
