Determine the values of kkk such that the system x+y+z=2x + y + z = 2x+y+z=2, x+2y+3z=5x + 2y + 3z = 5x+2y+3z=5, and x+3y+kz=8x + 3y + kz = 8x+3y+kz=8 has no solution.
k=4k = 4k=4
k≠4k \neq 4k=4
k=5k = 5k=5
None of the above