Consider the following system of equations: kx + y + 2 x + ky + 2 = 5 = -7 x + y + kz = 2 For which values of is the system inconsistent? k = (Give your answer as a comma separated list, for example: a, b, ...) For which values of k does the system have a unique solution? ke (Give your answer in interval notation, for example: [a,b) U (c,d]. If needed enter -∞ as - infinity and ∞ as infinity.) For which values of does the system have infinitely many solutions? k = (Give your answer as a comma separated list, for example: a, b, ...)