Write the system of linear equations represented by the augmented matrix to the right. Use $x, y$, and $z$ for the variables.
\[
\left[\begin{array}{rrr|r}
2 & 0 & 5 & -13 \\
0 & 1 & -4 & 11 \\
7 & 8 & 0 & 5
\end{array}\right]
\]

Write the equation represented by the first row.
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Answer

$2x + 5z = -13$

Steps

Step 1 ：The first row of the augmented matrix represents the equation:

Step 2 ：2x + 0y + 5z = -13

Step 3 ：Simplifying, we have:

Step 4 ：2x + 5z = -13

Step 5 ：Therefore, the equation represented by the first row is:

Step 6 ：$2x + 5z = -13$