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Use technology to solve each of the following systems of equations.

1. \(y = 3x^2 + x + 1\) and \(y = -2x^2 + x + 3\).
   
   
   Solution

   
   The solutions are approximately \((-0.63, 1.57)\) and \((0.63, 2.83)\).
   
   
   
2. \(y = 2x^2 + 7x \) and \(y = -3x -1\).
   
   
   Solution

   
   
   The solutions are approximately \((-4.90, 13.69)\) and \((-0.10, -0.69)\).