Some wrong solutions in Advanced Graphing App

[Patocuy]

Hi.
First of all. I'm impressed with the plotting capabilities of the Advanced Graphing App in HP Prime.

However I found a problem when trying to solve this non linear system of equations:

In symbolic view:
V1->X^(X+Y)=Y^12
V2->Y^(X+Y)=X^3

Then I plot both equations and finally use the "MENU-TRACE-PoI-Interceptions with V2" to search for the solutions.

The APP gives these solutions (Starting from the left side of the plot using the right arrow key to "jump" from one solution to the next)
X=−5.57653473367, Y=−0.423465266329 (this is no solution for the system)
X=-1, Y=-1 (OK)
X=−1.7763568394ᴇ−15, Y=−1.11022302463ᴇ−15 (this is no solution for the system, see NOTE)
X=1, Y=1 (OK)
X=4, Y=2 (OK)
X=9, Y=-3 (OK)

NOTE: When started from the right side of the plot and used the left arrow key, all the solutions were the same except for the referenced above which changed into: X=0, Y=−6.66133814775ᴇ−16. Very strange.

Hope these errors can be solved since the plot generated by HP Prime was, in general, much better than the ones from Desmos, Geogebra and even Wolfram Cloud (free version)

Regards.