Let's examine the given grid and provided values step-by-step:
First, let's resolve each value in the grid:
[tex]\[
\begin{array}{|c|c|c|}
\hline
10 + (-5) & -6 + (-9) & -1 + 12 \\
\hline
-9 + 13 & -2 + (-7) & 11 + (-3) \\
\hline
-5 + 25 & -4 + (-4) & 21 + (-9) \\
\hline
\end{array}
\][/tex]
Now let's compute each expression:
- [tex]\(10 + (-5) = 5\)[/tex]
- [tex]\(-6 + (-9) = -15\)[/tex]
- [tex]\(-1 + 12 = 11\)[/tex]
- [tex]\(-9 + 13 = 4\)[/tex]
- [tex]\(-2 + (-7) = -9\)[/tex]
- [tex]\(11 + (-3) = 8\)[/tex]
- [tex]\(-5 + 25 = 20\)[/tex]
- [tex]\(-4 + (-4) = -8\)[/tex]
- [tex]\(21 + (-9) = 12\)[/tex]
Replacing these values into the grid, we get:
[tex]\[
\begin{array}{|c|c|c|}
\hline
5 & -15 & 11 \\
\hline
4 & -9 & 8 \\
\hline
20 & -8 & 12 \\
\hline
\end{array}
\][/tex]
Next, calculate the sum of each row:
- First row: [tex]\(5 + (-15) + 11 = 1\)[/tex]
- Second row: [tex]\(4 + (-9) + 8 = 3\)[/tex]
- Third row: [tex]\(20 + (-8) + 12 = 24\)[/tex]
Let’s list these row sums:
[tex]\[ [1, 3, 24] \][/tex]
Finally, calculate the overall sum of the grid:
[tex]\[ 1 + 3 + 24 = 28 \][/tex]
Therefore, the row sums are [tex]\( [1, 3, 24] \)[/tex], and the overall sum of the grid is [tex]\( 28 \)[/tex].
