https://file.aiquickdraw.com/mathbot/file/172541564895028fatk1m.jpg

The image you uploaded contains a grid-based puzzle that combines arithmetic operations and missing numbers. The objective seems to be filling in the missing numbers to make the equations valid both horizontally and vertically.

Let me solve the puzzle by filling in the missing numbers.

### Top-Left Quadrant:
1. **First Row:** 
   - \( 9 - 6 \times 3 = 5 \) (This works because \( 9 - 18 = -9 \), which is incorrect, so let's try a different number for the blank.)
   - \( 9 - 6 \times 1 = 3 \) works.
2. **Second Row:** 
   - \( 7 - 4 + 3 = 6 \) (This works because \( 7 - 4 = 3 + 3 = 6 \).)
3. **Third Row:**
   - \( 8 = 9 - 1 \) (Works because \( 8 + 1 = 9 \).)

### Top-Right Quadrant:
1. **First Row:** 
   - \( 5 \) is already filled in.
2. **Second Row:** 
   - \( 6 \times 4 = 24 \) (This is incorrect, so I will try another number for the first missing blank.)
   - \( 5 \times 3 = 15 \) which fits better with the numbers.
3. **Third Row:** 
   - \( 7 + 2 = 9 \) (This is correct.)

### Bottom-Left Quadrant:
1. **First Row:** 
   - \( 2 = 7 - 5 \) (This works because \( 7 - 5 = 2 \).)
2. **Second Row:** 
   - \( 3 + 5 = 8 \) (Correct.)
3. **Third Row:** 
   - \( 3 + 5 + 1 = 9 \) (Correct.)

### Bottom-Right Quadrant:
1. **First Row:** 
   - \( 9 - 8 = 1 \) (This works.)
2. **Second Row:** 
   - \( 9 + 8 = 17 \) (Correct.)

This gives us the final filled-in grid as:

\[
\begin{array}{c|c|c|c|c}
9 & - & 6 & \times & 1 & = & 3 \\
\hline
8 & = & 7 & - & 4 & + & 3 \\
\hline
8 & = & 9 & - & 1 & & \\
\hline
2 & = & 7 & - & 5 & & 2 \\
\hline
2 & = & 3 & + & 5 & + & 1 
\end{array}
\]

Would you like more details or have any questions?

### Related Questions:
1. How can different operations change the value when filling in the missing spaces?
2. What strategies can be used to solve similar arithmetic puzzles quickly?
3. What are common errors to watch for when solving equation puzzles?
4. How can understanding the order of operations help solve these kinds of puzzles?
5. What are other types of math puzzles that involve arithmetic operations?

### Tip:
Always double-check each row and column after filling in the blanks to ensure that the equations are correct horizontally and vertically.

Fill in the missing numbers in the arithmetic puzzle to make the equations valid both horizontally and vertically.

Learn how to solve an arithmetic puzzle where you need to fill in missing numbers to make equations valid both horizontally and vertically. This puzzle covers key concepts such as basic operations and equation solving, making it suitable for students in Grades 4-6.

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