SOLUTION: Find the values of x and y that satisfy 3x − 1 + 2y = 0 and 3x2 - y2 + 4 = 0. Use the algebraic method to find the solution, and then use the graphing method to confirm wheth

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Question 1022479: Find the values of x and y that satisfy 3x − 1 + 2y = 0 and 3x2 - y2 + 4 = 0. Use the algebraic method to find the solution, and then use the graphing method to confirm whether the system of equations has real roots.
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
{3x+2y = 1, 3x^2+4 = y^2}
Solve 3x+2y = 1 for y





Substitute in

































Substitute (-1+2i) in

















One solution is (-1+2i, 2-3i)

Substituting (-1-2i) the same way gives  2+3i

So the other solution is (-1-2i, 2+3i)

These solutions are complex imaginary, so the graphs
should not cross:



And, as we see the black line, which is the graph of
, does not cross the red hyperbola, which is
the graph of   

Edwin
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