TITLE: Terminology concerning a certain solution to a certain system of equations
QUESTION [0 upvotes]: Say you have a solution $\textbf{x}=(x_1,x_2,\ldots,x_n)$ to a system of equations. It turns out that  $-\textbf{x}$ is also a solution. Is there accepted terminology for such a pair of solutions? (I don't think conjugate is it.) Is there terminology for the system that admits such solutions? (I don't think symmetric is general enough.)
Assume we're dealing with real numbers here.

REPLY [0 votes]: Standard in calculus would be "symmetric with respect to the origin" or "symmetric by reflection in the origin" or some variant.
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