3. Give a simple description of the system \[ \begin{array}{l} x=0 \\ y=0 \\ z=0 \end{array} \] $x=0$ can be seen as the constant function $x=g(y, z)=0 y+0 z=0$. Of course, you can use GeoGebra to "observe" the system. 4. Give an example with 2 equations as simple as possible with 3 variables (at least 1 being non-linear; keeping $z$ to the one power on both equations) and describe the potential of GeoGebra to study nonlinear systems. Your Discussion should be a minimum of 250 words in length and not more than 750 words. 233 words Permalink Reply

Step 1 ：The system of equations \(x=0\), \(y=0\), and \(z=0\) represents the origin point (0,0,0) in a three-dimensional space.

Step 2 ：An example of a system of equations with three variables, at least one of which is non-linear, could be: \[\begin{array}{l} x=y^2 \\ z=x+y \end{array}\]

Step 3 ：GeoGebra is a powerful tool for studying such systems as it allows for visual representation of the equations. This can help in understanding the relationship between the variables and how changes in one variable affect the others.

Step 4 ：GeoGebra can also be used to find solutions to the system by finding the points of intersection of the graphs of the equations.

Step 5 ：Furthermore, GeoGebra can handle both linear and non-linear equations, making it a versatile tool for studying various types of systems.