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To solve the matrix equation \( X - A = B \) for \( X \), we need to isolate \( X \). We can do this by adding matrix \( A \) to both sides of the equation:

\[
X = A + B
\]

Now, let's calculate \( A + B \).

### Matrices:
\[
A = \begin{bmatrix} -3 & -7 \\ 2 & -9 \\ 5 & 0 \end{bmatrix}, \quad B = \begin{bmatrix} -5 & -1 \\ 0 & 0 \\ 3 & -4 \end{bmatrix}
\]

### Matrix Addition \( A + B \):
\[
X = \begin{bmatrix} -3 + (-5) & -7 + (-1) \\ 2 + 0 & -9 + 0 \\ 5 + 3 & 0 + (-4) \end{bmatrix}
\]

Let's calculate each element:

1. First row: \((-3) + (-5) = -8\), and \((-7) + (-1) = -8\).
2. Second row: \(2 + 0 = 2\), and \((-9) + 0 = -9\).
3. Third row: \(5 + 3 = 8\), and \(0 + (-4) = -4\).

Therefore, the matrix \( X \) is:

\[
X = \begin{bmatrix} -8 & -8 \\ 2 & -9 \\ 8 & -4 \end{bmatrix}
\]

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Would you like further details on this solution, or do you have additional questions?

### Related Questions:
1. How do you add matrices with different dimensions?
2. What is matrix subtraction, and how does it differ from matrix addition?
3. How can we check if a matrix addition is performed correctly?
4. What are the properties of matrix addition?
5. Can matrix addition be commutative and associative?

### Tip:
When adding or subtracting matrices, make sure the matrices have the same dimensions; otherwise, the operation is undefined.

Solve the matrix equation X - A = B for X where A = [[-3, -7], [2, -9], [5, 0]] and B = [[-5, -1], [0, 0], [3, -4]].

Learn how to solve the matrix equation X - A = B using matrix addition. This problem involves adding two matrices to isolate X, with detailed step-by-step calculations. Ideal for high school students studying linear algebra.

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