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The problem asks you to determine the result of the matrix operation \( 4A - 3B \), or state "Not Possible" if the operation cannot be performed. Let's go through it step by step.

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### Given Matrices:
\[
A = 
\begin{bmatrix}
5 & 8 & -7 \\
0 & 0 & -9
\end{bmatrix}
\quad \text{and} \quad
B = 
\begin{bmatrix}
-8 & 8 & -8 \\
-5 & 9 & 0
\end{bmatrix}
\]

---

### Step 1: Verify Matrix Dimensions
- \( A \) is a \( 2 \times 3 \) matrix.
- \( B \) is also a \( 2 \times 3 \) matrix.

Since both matrices have the same dimensions, we can proceed with the matrix subtraction.

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### Step 2: Perform the Scalar Multiplications
#### Multiply \( A \) by 4:
\[
4A = 4 \cdot 
\begin{bmatrix}
5 & 8 & -7 \\
0 & 0 & -9
\end{bmatrix}
=
\begin{bmatrix}
20 & 32 & -28 \\
0 & 0 & -36
\end{bmatrix}
\]

#### Multiply \( B \) by 3:
\[
3B = 3 \cdot 
\begin{bmatrix}
-8 & 8 & -8 \\
-5 & 9 & 0
\end{bmatrix}
=
\begin{bmatrix}
-24 & 24 & -24 \\
-15 & 27 & 0
\end{bmatrix}
\]

---

### Step 3: Subtract \( 3B \) from \( 4A \)
\[
4A - 3B = 
\begin{bmatrix}
20 & 32 & -28 \\
0 & 0 & -36
\end{bmatrix}
-
\begin{bmatrix}
-24 & 24 & -24 \\
-15 & 27 & 0
\end{bmatrix}
\]

Now, subtract the corresponding elements:

\[
4A - 3B = 
\begin{bmatrix}
20 - (-24) & 32 - 24 & -28 - (-24) \\
0 - (-15) & 0 - 27 & -36 - 0
\end{bmatrix}
\]

\[
4A - 3B = 
\begin{bmatrix}
44 & 8 & -4 \\
15 & -27 & -36
\end{bmatrix}
\]

---

### Final Answer:
\[
4A - 3B = 
\begin{bmatrix}
44 & 8 & -4 \\
15 & -27 & -36
\end{bmatrix}
\]

---

Let me know if you need further clarification or additional steps!

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### Relative Questions:
1. How do you determine if two matrices can be added or subtracted?
2. What are the rules for scalar multiplication of matrices?
3. How can matrix operations be applied in real-world problems?
4. What happens if the matrices have different dimensions?
5. Can you explain how element-wise operations work in matrices?

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### Tip:
When performing matrix operations, always ensure the matrices have compatible dimensions to avoid mistakes.

Given the following matrices, determine 4A - 3B if possible. If not, state 'Not Possible'. A = [[5, 8, -7], [0, 0, -9]] and B = [[-8, 8, -8], [-5, 9, 0]]

Learn how to compute the matrix operation 4A - 3B where A and B are 2x3 matrices. This problem involves scalar multiplication and matrix subtraction, key concepts in linear algebra. Step-by-step solution provided for students in high school (Grades 10-12).

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