SOLUTION: solve the nonlinear system of equations for real solutions x^2+y^2=9 x^2+(y-2)^2=1

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Question 633464: solve the nonlinear system of equations for real solutions
x^2+y^2=9
x^2+(y-2)^2=1


Answer by asuar010(338) About Me  (Show Source):
You can put this solution on YOUR website!
first we expand the second equation and we obtain x%5E2%2By%5E2-4y%2B4=1 and by substituting the first equation we get 9-4y%2B4=1 then 13-4y=1 then -4y=-12 so y=3 then we substitute in the first equation and we get x%5E2%2B9=9 so x=0