(a) Show that the system of equations
\(\begin{array}{r} x+2 y+3 z=1 \\ 4 x+5 y+6 z=1 \\ 7 x+8 y+9 z=1 \end{array}\)
does not have a unique solution.
(b) Show that the system of equations in part (a) is consistent. Interpret this situation geometrically.