Matrices and cases

[Faded-Maximus]

We have been given 8 cases and several systems of equations to solve using matrices rref. After solving the matrices we need to state which case it is.

The cases only include three planes. So if I have two equations with three variables to solve for, would this be classfied as one of the cases?

 

[galactus]

If you have 2 equations with 3 unknowns, then you have infinite solutions.

 

[Faded-Maximus]

I know that there will be infinite solutions, but I am asking is a 2 equation system with 3 variables would be considered three plane?
I.E: x + y + z = 4
4x + 3y - 6z = 9

 

[pka]

I know that there will be infinite solutions, but I am asking is a 2 equation system with 3 variables would be considered three plane?
I.E: x + y + z = 4
4x + 3y - 6z = 9

There may be no solutions if the planes are parallel.
And yes, each linear equation in R<SUP>3</SUP> repesents a plane.
So how many do you have?