Which represents the solution(s) of the system of equations, $y = x^2 – 6x + 8$ and $y = –x + 4$? Determine the solution set by graphing.

A. (1, 3) only
B. (2, 0) and (4, 0)
C. (1, 3) and (4, 0)
D. No solutions

Question

Which represents the solution(s) of the system of equations, $y = x^2 – 6x + 8$ and $y = –x + 4$? Determine the solution set by graphing.

A. (1, 3) only
B. (2, 0) and (4, 0)
C. (1, 3) and (4, 0)
D. No solutions

Enorym · Answer

You can set them equal to each other (Substitution since they are both equal to y)

$ x^2 - 6x + 8 = -x + 4$
You can set this all equal to zero (I will assume you know how to do this)

$x^2 - 5x + 4 = 0$

From here you can solve by factoring or completing the square

If you have any questions feel free to ask (: