# 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 $$k=1$$, $$h = \pm \; 2$$.

×