Which two points satisfy y = -x2 2x 4 and x y = 4?

I will assume that the two equations are

1) y = -x^2 +2x + 4 and 2) x +y = 4

subtract 2 from 1 and you get

y -x - y = -x^2 + 2x + 4 - 4

-x = -x^2 +2x

x^2 -x -2x = 0

x^2 - 3x = 0

x(x-3)=0

x=0 and x - 3 =0

x=0 and x = 3

Then y = 4 - x

y = 4 - 0 and y = 4 -3
y = 4 and y =1

Solutions:

Points (0,4) and (3,1)