Question: 16. Show that the system below is inconsistent. $$ begin{aligned} x_1 + x_2 + x_4 &= 1, x_1 + x_2 + x_5 &= 2,

16. Show that the system below is inconsistent.

$$

\begin{aligned}

x_1 + x_2 + x_4 &= 1, \\

x_1 + x_2 + x_5 &= 2, \\

x_1 + x_3 + x_4 &= 1, \\

x_1 + x_3 + x_5 &= 3.

\end{aligned}

$$

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