Solve the system of equations:
y= x-3
y= x2 - 5x + 6
A. (0, -3)
B. (1,-2) and (5,2)
C. (3,0)
D. (2,0) and (3,0)

it's answer is C. (3 , 0)

Step-by-step explanation:

given

y = x - 3

y = x² - 5x + 6

= x² - ( 3 + 2) x + 6

= x² - 3x - 2x + 6

= x ( x - 3) - 2( x - 3)

= ( x - 3) ( x - 2)

Now

we have y = x - 3

(x - 3) =( x - 3)( x - 2)

Both x -3 will be cancelled and we get

x -2 = 1

x = 1 + 2

x = 3

And now

y = 3 - 3

= 0

Hope it will help you :)

the answer

b. they are parallel and will never intersect.