Which pair of points represents the solution set of this system of equations?

y = x2 − 6x + 8
2y + x = 4
a (2, 1) and (4, 0)
b (1.5, 1.25) and (4, 0)
c (0, 0) and (5, -5)
d (-1.25, -2.75) and (1.25, 3)
e There is no real solution.
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Question

Which pair of points represents the solution set of this system of equations?

y = x2 − 6x + 8
2y + x = 4
a (2, 1) and (4, 0)
b (1.5, 1.25) and (4, 0)
c (0, 0) and (5, -5)
d (-1.25, -2.75) and (1.25, 3) 
 e There is no real solution.
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anonymous · Answer

I think its a or c

anonymous · Answer

Can be solved with substitution:

$$2y+x=4 \rightarrow y=(4-x)/2.$$
$$\rightarrow(4-x)/2=x^2-6x+8$$
Try simplifying that. If you have trouble factoring then just use the quadratic formula.