There are infinitely many solutions, for example, x=-7 and y=5, because -7+5=-2
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It does if x=2. That's the solution of your equation.
x = -3, y = 7
x=-2, y=2
x = 3 and y = 2
There is one solution for x and one solution for y. The solution is: x = -1 ; y = 2