Sure! Let's start with the given 3x3 grid:
[tex]\[
\begin{array}{|l|l|l|}
\hline
5 & \ & \ \\
\hline
\ & 6 & \ \\
\hline
\ & \ & 7 \\
\hline
\end{array}
\][/tex]
We need to fill in the empty spaces in the grid using numbers from 2 to 10. However, the given grid already contains the numbers 5, 6, and 7.
First, let's identify the remaining numbers that can be placed into the empty cells. These numbers are:
[tex]\[ 2, 3, 4, 8, 9, 10 \][/tex]
Next, we will fill in the empty cells in the grid from left to right, top to bottom:
1. Start with the first empty cell in the first row.
2. Continue filling from left to right in each row until all empty cells are filled.
Fill in the first row:
[tex]\[
\begin{array}{|l|l|l|}
\hline
5 & 2 & 3 \\
\hline
\ & 6 & \ \\
\hline
\ & \ & 7 \\
\hline
\end{array}
\][/tex]
Fill in the second row:
[tex]\[
\begin{array}{|l|l|l|}
\hline
5 & 2 & 3 \\
\hline
4 & 6 & 8 \\
\hline
\ & \ & 7 \\
\hline
\end{array}
\][/tex]
Fill in the third row:
[tex]\[
\begin{array}{|l|l|l|}
\hline
5 & 2 & 3 \\
\hline
4 & 6 & 8 \\
\hline
9 & 10 & 7 \\
\hline
\end{array}
\][/tex]
Thus, the final filled grid is:
[tex]\[
\begin{array}{|l|l|l|}
\hline
5 & 2 & 3 \\
\hline
4 & 6 & 8 \\
\hline
9 & 10 & 7 \\
\hline
\end{array}
\][/tex]
This is the fully filled grid using the numbers from 2 to 10.
