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. c7 .0); 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