Solve each following systems of non-linear equations:

1.









and


and





2.



x = 2 and y = 1


x = 2 and y = -1


x = -2 and y = 1


x = 1 and y = 1





3.












and





4.



x = 2 and y = 1


x = 2 and y = -1


the system has an infinity of solutions


the system does not have solutions





5.



x = 2 and y = 1


x = 1 and y = -1


x = -1 and y = 1


x = 1 and y = 1




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