# Adding 'z' to 2D graph equation

• I
• pairofstrings
pairofstrings
TL;DR Summary
2D equation:
##x^2 y^2 + x^2 y + x y =1##
Hi.
If I write any random equation in 2D then the graph undoubtedly shows up on that 2D graphing system.
Equation example: ##x^2 y^2 + x^2 y + x y =1##

My question is: if I take the same equation: ##x^2 y^2 + x^2 y + x y =1## and if I manipulate the equation by including another variable ##'z'## in the equation like this: ##x^2 y^2 z+ x^2 y z^2+ x y z =1## then why is the 3D graph not showing up on that 3D graphing system?

Thanks.

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pairofstrings said:
then the graph undoubtedly shows up on that 2D graphing system
What are you talking about ? What 2D graphing system ? Any visual examples ?

pairofstrings said:
then why is the 3D graph not showing up on that 3D graphing system?
Perhaps because "that" system has no telepathic capabilities ? What so you expect to see ?

##\ ##

pairofstrings said:
why is the 3D graph not showing up on that 3D graphing system?
BvU is right: you need to specify what "graphing system" you're asking about.

For example, Mathematica's ContourPlot and ContourPlot3D easily handle your 2D and 3D examples:

berkeman
Hi.
Sorry for not using math words. By saying 2D and 3D graphing system I mean 2D and 3D coordinate system.

In GeoGebra when I write random equation: ##x^2y^2z+x^2yz^2+xyz=1## I am getting a blank graph and sometimes like this (vertical axis is y-axis):

My question is that, is it possible to draw a 3D graph of any random 3D equation like the equation: ##x^2y^2z+x^2yz^2+xyz=1##? If yes, then I will use a different 3D graphing software.

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