question archive create 3 equations of the form , where a, b, cdAfter you have completed this first task, choose one, and  are constants (integers between - 5 and 5)

create 3 equations of the form , where a, b, cdAfter you have completed this first task, choose one, and  are constants (integers between - 5 and 5)

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create 3 equations of the form , where a, b, cdAfter you have completed this first task, choose one, and  are constants (integers between - 5 and 5). For example, . Perform row operations on your system to obtain a row-echelon form and the solution. 

of the following to discussion post:

1. Reflect on what the graphs are suggesting for one equation, two equations, and three equations, and describe your observations. Think about the equation as a function  of x and y, for example,  in the example above. Geogebra automatically interprets this way, that is, like , it isolates z in the equation. 

 

 

2. What did the graphs show when you entered the second equation? 

 

 

3. Give a simple description of the system

x=0

y=0

z=0

x = 0 can be seen as the constant function . 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.

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