SOLUTION: Solve the system by the substitution method. x + y = 11 y = x2 - 10x + 25

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Question 470413: Solve the system by the substitution method.
x + y = 11
y = x2 - 10x + 25

Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = 11
y = x^2 - 10x + 25
***
y=11-x
y = x^2 - 10x + 25
11-x=x^2-10x+25
0=x^2-9x+14
0=(x-7)(x-2)
x=7 or x=2
y=11-7=4
or y=11-2=9
so (7,4) or (2,9)