Posted by **Tashanna** on Sunday, August 12, 2007 at 4:50pm.

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)