Question

How many solutions does the
given system have?
x – y = -4
y = -x2 + x.

Answer 1

9514 1404 393

Answer:

none

Explanation:

The equations describe curves that do not intersect. There are no real solutions.

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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).