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I have opened the image you uploaded. Let's break down and solve each part of the assignment.

### Part A:
We need to determine whether the ordered triple \( (1, -1, -2) \) is a solution to the given equations. The method involves substituting \( x = 1 \), \( y = -1 \), and \( z = -2 \) into each equation and checking if the equality holds.

1. \( 3x - 3y - z = 2 \)
   \[
   3(1) - 3(-1) - (-2) = 3 + 3 + 2 = 8 \neq 2
   \]
   **Not a solution.**

2. \( 2x - 3y + z = -3 \)
   \[
   2(1) - 3(-1) + (-2) = 2 + 3 - 2 = 3 \neq -3
   \]
   **Not a solution.**

3. \( x + y + z = -2 \)
   \[
   1 + (-1) + (-2) = 1 - 1 - 2 = -2
   \]
   **This is a solution.**

4. \( x + 2y - z = 0 \)
   \[
   1 + 2(-1) - (-2) = 1 - 2 + 2 = 1 \neq 0
   \]
   **Not a solution.**

5. \( 5x - y - 5z = 16 \)
   \[
   5(1) - (-1) - 5(-2) = 5 + 1 + 10 = 16
   \]
   **This is a solution.**

6. \( 4x + 5y - 6z = -13 \)
   \[
   4(1) + 5(-1) - 6(-2) = 4 - 5 + 12 = 11 \neq -13
   \]
   **Not a solution.**

### Summary for Part A:
The ordered triple \( (1, -1, -2) \) is a solution to equations 3 and 5 only.

---

### Part B:
Here, we need to find the missing values for the ordered triple that makes the equation \( x + 2y - 3z = 8 \) true.

7. \( (4, \_ , 0) \)
   \[
   4 + 2y - 3(0) = 8 \implies 4 + 2y = 8 \implies 2y = 4 \implies y = 2
   \]
   **The missing value is \( y = 2 \).**

8. \( (\_, -2, -2) \)
   \[
   x + 2(-2) - 3(-2) = 8 \implies x - 4 + 6 = 8 \implies x + 2 = 8 \implies x = 6
   \]
   **The missing value is \( x = 6 \).**

9. \( (2, 3, \_) \)
   \[
   2 + 2(3) - 3z = 8 \implies 2 + 6 - 3z = 8 \implies 8 - 3z = 8 \implies -3z = 0 \implies z = 0
   \]
   **The missing value is \( z = 0 \).**

10. \( (-3, -2, \_) \)
    \[
    -3 + 2(-2) - 3z = 8 \implies -3 - 4 - 3z = 8 \implies -7 - 3z = 8 \implies -3z = 15 \implies z = -5
    \]
    **The missing value is \( z = -5 \).**

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Would you like further explanations on any part? 

Here are some related questions you might find useful:
1. How do you verify if a solution is correct for a system of equations?
2. Can a system of equations have more than one solution?
3. What happens when there is no solution for a system of equations?
4. How do you solve systems of equations using matrices?
5. What is the difference between consistent and inconsistent systems?

**Tip:** Always substitute the values back into the equation to verify if a solution works for each system of equations.

Determine whether the ordered triple (1, -1, -2) is a solution for each system of equations in Part A, and find the missing value for each ordered triple in Part B.

Learn how to verify solutions to systems of linear equations and find missing values in ordered triples. This step-by-step guide covers algebraic methods for solving systems of equations, ideal for students in Grades 9-11.

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