math

solve the following system of equations algebraically or graphically for x and y: y=xsquare-6x+6
y-x=-4

For an algebraicc solution, show your work here.

y=x^2-6x+6

y-x= -4

Let's substitute x-4 for y in the first equation.

x-4 = x^2-6x+6
x^2 -7x + 10 = 0
(x-5)(x-2) = 0
x = 5 or 2
y = 1 (where x=5) or -2 (where x=2)

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