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How many solutions does the
given system have?
x – y = -4
y = -x2 + x.
The equations describe curves that do not intersect. There are no real solutions.
_____
Additional comment
The system is consistent, not dependent, and of degree 2, so there will be two solutions. There are no real solutions, so the two solutions are complex: (-2i, 4-2i) and (2i, 4+2i).
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