SOLUTION: How many solutions of the system x – y = 3 and x2 – y = -1 are there such that x and y are both real?

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Question 923714: How many solutions of the system x – y = 3 and x2 – y = -1 are there such that x and y are both real?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Zero, you can check by graphing both equations in the same xy-plane and checking that they do not intersect. Alternatively, subtract the first equation from the second to get x^2 - x = -4 or x^2 - x + 4 = 0. This equation does not have a real solution for x.