If $D = 3$ and $D _ { x } = 0$ , then the system of equations is inconsistent.

Name: If $D = 3$ and $D _ { x } = 0$ , then the system of equations is inconsistent.
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Quizplus · Accepted Answer

The determinant $D = 3$ indicates that the system of equations has a unique solution, not that it is inconsistent. An inconsistent system would have $D = 0$ with at least one of the other determinants (like $D_x$) being non-zero.

If D=3D = 3D=3 And Dx=0D _ { x } = 0Dx​=0

If $D = 3$ And $D _ { x } = 0$