Solve the nonlinear system of equations

  There are no real solutions. The complex solutions are ...

  (x, y) = (2.5-i√1.75, -2.5+i√1.75)  or  (2.5+i1.75, -2.5-i1.75)

Step-by-step explanation:

Subtract the first equation from the second.

  y -y = (x^2 -6x +8) -(-x)

  0 = x^2 -5x +8

Rewrite to facilitate completing the square:

  x^2 -5x = -8

  x^2 -5x +6.25 = -1.75 . . . . . add 6.25 to complete the square

  (x -2.5)^2 = -1.75 . . . . . write as a square

  x -2.5 = ±i√1.75 . . . . . . take the square root

  x = 2.5 ± i√1.75 . . . . . . add 2.5; y is the opposite of this

Solutions are ...

_____

The graph shows the equations have no point of intersection, meaning there are no real solutions. The complex solutions are shown above.

might be the correct answer will be question number 2