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

a. (3, 25)

b. (-3, 49)

c. (3, 25) and (7, 9)

d. (-3, 49) and (-7, 65)

TO determine the solution set of the equations given above, we can use substitution method. We do as follows:

y = - x2 + 6x + 16 and y = - 4x + 37

-x2 + 6x + 16 = - 4x + 37

-x^2 + 10x - 21 = 0

x = 7 and 3

y = 9 and 25

Therefore, option C is the correct answer.