Determine the values of h such that the matrix is the augmented matrix of a consistent linear system

Determine the values of h such that the matrix is the augmented matrix of a consistent linear system

Section 1.1, #19 "In exercises 19-22, determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system." All problems used are subject to fair use. Problems taken from "Linear Algebra and Its Applications" by David C. Lay, Steven R. Lay, and Judi J. McDonald.