Linear Algebra!

[seksy]

I was just wondering if I was correct, the following question is true or false

A system of 6 linear equations in 4 unknowns can never have a 1-parameter family of solutions

I think this is true.
Am I correct?

[Denis]

You "think" it's true? Why?

[tkhunny]

I was just wondering if I was correct, the following question is true or false

A system of 6 linear equations in 4 unknowns can never have a 1-parameter family of solutions

I think this is true.
Am I correct?

Have we any clue about the six equations being independent?