You can put this solution on YOUR website! Use elimination to solve the nonlinear system of equations:
x^2 - 3y = 3
x^2 + 2y^2 = 5
-------------------- Subtract
-2y^2 - 3y = -2
2y^2 + 3y - 2 = 0
(2y - 1)*(y + 2) = 0
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Get the y values, the sub into either eqn and get the x values.