# Consistent ?? Think again -2

**Algebra**Level 4

\[ \begin{cases} x_2 - 2x_3 - h = 0 \\ x_1 - x_2 + x_3 = 2 \\ x_1 = 3 - k x_2 \end{cases} \]

Given the system of equations above. What are the values of \(h\) and \(k\) so that the system is inconsistent?

A) \( k = -\dfrac12 \), \(h\subset \mathbb R -\{2 \} \).

B) \( k \subset \mathbb R - \left \{ - \dfrac12 \right\} , h = 2 \).

C) The system is always inconsistent.

D) \(k \subset \mathbb R , h \subset \mathbb R \).

E) \(k = 0\) or \(k=1\), \(h = \pm \; 2 \).