What are the solutions to the following system y = - x2 + 2x - 9 y = - 6x + 6

Y = - x^2 + 2x - 9

y = - 6x + 6

-6x + 6 = - x^2 + 2x - 9

x^2 - 2x + 9 - 6x + 6 = 0

x^2 - 8x + 15 = 0

(x - 5) (x - 3) = 0

x - 5 = 0 y = - 6x + 6

x = 5 y = - 6 (5) + 6

y = - 30 + 6

y = - 24

x - 3 = 0 y = - 6x + 6

x = 3 y = - 6 (3) + 6

y = - 18 + 6

y = - 12

solutions are : (5,-24), (3,-12)