## Precalculus (10th Edition)

If $D=0$ we have two possibilities: 1) $D_x=0,D_y=0,D_z=0$ 2) At least one of the determinants $D_x,D_y,D_z$ is not zero In the first case the system is consistent and dependent (thus it has infinitely many solutions). In the second case the system is inconsistent. Therefore the statement is FALSE.