Question

Which represents the solution(s) of the system of equations, y = –x2 + 6x + 16 and y = –4x + 37? Determine the solution set algebraically.

(3, 25)
(–3, 49)
(3, 25) and (7, 9)
(–3, 49) and (–7, 65)

Answer 1

Set them equal to each other and solve for x first
\(–x^2 + 6x + 16 = –4x + 37\)