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I was graphing on Desmos.
I typed xy = 0 and got the graph of only y=0. Confused I typed yx=0 . I got the graph of only x=0. As far as I know, the equation represents both x=0 and y=0 . Is this just a software error or am I not understanding something crucial?

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1 Answer

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Since $xy=yx$, $xy=0\Leftrightarrow yx=0$. Therefore, it must be a software error.

EDIT: For the benefit of future readers, here is a summary of what we uncovered in the comments below: very simple locus definitions solve for only one variable, but $xy= 0x^3+0y^3$ will force the use of a more complex algorithm without this bug.

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