To solve the pattern, we need to identify the algebraic equation that applies to each row.

Let's analyze each row:

1. First Row: 2, -3, 9, 5

   • Applying the operations:
     • $2 - 3 = -1$
     • $-1 + 9 = 8$
     • $8 - 3 = 5$

2. Second Row: 8, ?, 3, 7

   • Applying the same operations:
     • $8 - x = y$
     • $y + 3 = z$
     • $z - x = 7$

3. Third Row: -4, 2, 4, -6

   • Applying the operations:
     • $-4 + 2 = -2$
     • $-2 + 4 = 2$
     • $2 - 4 = -2$

4. Fourth Row: 5, 2, 8, 1

   • Applying the operations:
     • $5 - 2 = 3$
     • $3 + 8 = 11$
     • $11 - 2 = 9$

Given the operations identified from the first and third rows, it seems the pattern follows a specific operation order across rows. The operations vary slightly in the second and fourth rows.

To determine the missing value, let's apply the derived operation sequence (subtraction and addition) correctly.

• First, we can rewrite the second row equation:
  • $8 - x = y$
  • $y + 3 = 7$ so $y = 7 - 3 = 4$
  • $8 - 4 = 4$

Thus, the missing value $x = 4$.

The pattern or operation might be:

1. Subtract the first number from the second.
2. Add the result to the third number.
3. Subtract the second number from the final result.

If these steps are consistent with all rows, then: $8 - 4 = 4$

Thus, the missing number is $4$.

Would you like any more details or have any questions about the pattern?

Here are some additional related questions for practice:

1. What number completes the sequence $3, ?, 12, 7$ following the same pattern?
2. Find the missing value in the sequence $6, ?, 10, 4$ using similar operations.
3. If the pattern involves multiplication instead of addition, what would the missing number be for $5, ?, 15, 10$?
4. Solve the sequence $2, ?, 4, 1$ using addition and division.
5. Determine the missing number in $9, ?, 18, 3$ with subtraction and addition.
6. Find the value that fits in $4, ?, 8, 2$ if the operations are multiplication and division.
7. What is the pattern in the sequence $7, ?, 14, 5$ if subtraction is used?
8. Solve the sequence $1, ?, 3, 2$ using basic arithmetic operations.

Tip: When solving number patterns, always verify each operation step by step to ensure consistency across all rows or sequences.