50 points! will someone give a thorough explanation on how to solve this !

The solution are (6,20) and (2,0)

Step-by-step explanation:

The system of equations is:

y=x^2-3x+2 and

y=5x-10

Combining the two, x^2-3x+2=5x-10

Moving everything on one side, x^2-8x+12=0

Factoring, (x-6)(x-2)=0

x=6 or x=2

y=5(6)-10=20 or y=5(2)-10=0

the answer is d

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answer: the answer for that is 22/3