SOLUTION: How do i solve this? -Systems of nonlinear equations x+3y=12 xy=9

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Question 680090: How do i solve this?
-Systems of nonlinear equations
x+3y=12
xy=9
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
x+3y=12
xy=9 --> y = 9/x
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sub for y in the 1st eqn
x + 27/x = 12
x%5E2+-+12x+%2B+27+=+0
(x-3)*(x-9) = 0
x = 3, y = 3
x = 9, y = 1