Question

Which one is it? Just tell me when I get the answer

Answer 1

From the given augmented matrix.

We can find the solution by taking each row one by one.

From the first row,

$\begin{gathered} 2x+(-1)\times y+2z=8 \\ 2x-y+2z=8 \end{gathered}$

From the second row,

$\begin{gathered} 0\times x+3\times y+(-5)\times z=4 \\ 3y-5z=4 \end{gathered}$

From the third row,

$\begin{gathered} 6\times x+(0)\times y+(-4)\times z=13 \\ 6x-4z=13 \end{gathered}$

Thus, the system of equations is

$\begin{gathered} 2x-y+2z=8 \\ 3y-5z=4 \\ 6x-4z=13 \end{gathered}$

Therefore, the given option D is correct.