Theorem 4.18 Solutions of a Nonhomogeneous Linear System If xp is a particular solution of the nonhomogeneous system Ax = b, then every solution of this system can be written in the form x = Xp + Xh, where Xh is a solution of the corresponding homogeneous system Ax = 0.Determine whether the nonhomogeneous system Ax = b is consistent. If it is, use Theorem 4.18 to write the solution in terms of a particular solution and the solution to the corresponding homogeneous system. cf I0); g: 42:- +1 3 Rx -"l~3.+5%=' 8' -7x Ht; Hilda? 3Y"6% i-E-tll