The first two steps in determining the solution set of the system of equations, y = x2 – 2x – 3 and y = –x +3, algebraically are shown in the table. which represents the solution(s) of this system of equations? (3, 0) and (–2, 5) (–6, 9) and (1, 2) (–3, 6) and (2, 1) (6, –3) and (–1, 4)

Y = x^2 - 2x - 3
y = -x + 3

-x + 3 = x^2 - 2x - 3
x^2 - 2x - 3 + x - 3 = 0
x^2 -x - 6 = 0
(x - 3)(x + 2) = 0

x - 3 = 0        y = -x + 3
x = 3             y = -3 + 3
                     y = 0

x + 2 = 0      y = -x + 3
x = -2           y = -(-2) + 3
                    y = 2 + 3
                    y = 5

solutions are : (3,0) and (-2,5)