Which of the following uses the substitution method to solve linear-quadratic system y = x ^ 2 - 4x + 8; y=3x-4? point) (- 4, - 16) and (- 3, - 13); (4, 8); (3, 5); (4, 8) and (3, 5)

The correct answer would be (4, 8) and (3, 5).

To confirm, let's substitute these values into the equations:
For the first point (4, 8):
y = x^2 - 4x + 8
8 = 4^2 - 4(4) + 8
8 = 16 - 16 + 8
8 = 8
The first equation is satisfied.
The second equation is y = 3x - 4:
8 = 3(4) - 4
8 = 12 - 4
8 = 8
The second equation is also satisfied.
Now, let's check the second point (3, 5):
y = x^2 - 4x + 8
5 = 3^2 - 4(3) + 8
5 = 9 - 12 + 8
5 = 5
The first equation is satisfied.
The second equation is y = 3x - 4:
5 = 3(3) - 4
5 = 9 - 4
5 = 5
The second equation is also satisfied.
Therefore, (4, 8) and (3, 5) are the solutions to the linear-quadratic system using the substitution method.

Are you shre

Yes, I am sure that (4, 8) and (3, 5) are the solutions to the linear-quadratic system using the substitution method. I have verified the solutions by substituting the values into the equations, and they satisfy both equations.