What is one of the solutions to the following system?

{ y-3=x
x^2-6x+13=y

a)(–5, 2)
b)(–2, 1)
c)(2, 5)
d)(8, 5)

2x – y = 2 –x + 5y = 3 This is a system of equations. I will use substitution.-x + 5y = 3 -x = 3 - 5y x = 5y - 3 2x -y = 2 (substitute the top part into here) 2(5y-3) - y = 2 10y - 6 - y = 2 9y = 8 y = 8/9
x = 5y - 3 = 5(8/9) - 3 = 13/9 = 1.444444 repeating Since there is a solution of (13/9, 8/9), there is 1 solution
The answer is A. Keep in mind, answer choice C is impossible; you can never have a system of equations with 2 solutions :)

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