Question

Which of the following describes the solution to this system of equations

Answer 1

Why "dependent?"

If the system of equations can be shown to have a unique solution, we'd call it "independent."  Have you tried solving this system?  I'd use matrix row operations to do that.

I found that the last row of this 3 by 4 matrix comes out to 0 0 0 0.  This means that the system is DEPENDENT; it does not have a unique solution.

Please review the meaning of "independent" and of "dependent" in this matrix algebra context.