Question: Solving systems of equations with "or" logical connector

Could anyone please tell me how to solve the following system of equations and inequalities numerically in Maple:

{x + y = 2 and y = 1 and x > 0} or {x^2 = 4 and x < 0 and y = 0}?

By now I have been using solve() function in similar cases, but did not manage to adopt it for the or logical connector. 

Solving the two cases separately obviously works here, but does not help in the example, for which I need this, 

Thank you in advance!

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