Question

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

Answer 1

C. is right on edg.

Answer 2

The equations had 2 solutions:

x = 3, y = 25 or x = 7, y = 9

Explanation:

(x - 6) x + y = 16, 4 x + y = 37

y = 37 - 4 x

x2-6x+37-4x-16=0

x2-10x+21=0

(x - 7) (x - 3) = 0 -> x =3 or x = 7