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Let's solve the problem step-by-step.

### Given Matrices
1. Matrix \( K = \begin{pmatrix} -z & 2 \\ 1 & 0 \end{pmatrix} \)
2. Matrix \( L = \begin{pmatrix} 4 & x \\ y+5 & -6 \end{pmatrix} \)
3. Matrix \( M = \begin{pmatrix} -1 & 3 \\ 0 & 2 \end{pmatrix} \)
4. Matrix \( N = \begin{pmatrix} 4 & y \\ -2 & 3 \end{pmatrix} \)

The problem states:  
\[
2K - L = MN
\]

### Step-by-Step Solution
1. **Calculate \( 2K \):**
   \[
   2K = 2 \times \begin{pmatrix} -z & 2 \\ 1 & 0 \end{pmatrix} = \begin{pmatrix} -2z & 4 \\ 2 & 0 \end{pmatrix}
   \]

2. **Compute \( 2K - L \):**
   \[
   2K - L = \begin{pmatrix} -2z & 4 \\ 2 & 0 \end{pmatrix} - \begin{pmatrix} 4 & x \\ y+5 & -6 \end{pmatrix}
   = \begin{pmatrix} -2z - 4 & 4 - x \\ 2 - (y+5) & 0 - (-6) \end{pmatrix}
   = \begin{pmatrix} -2z - 4 & 4 - x \\ -y - 3 & 6 \end{pmatrix}
   \]

3. **Compute \( MN \):**
   Multiply matrices \( M \) and \( N \):
   \[
   MN = \begin{pmatrix} -1 & 3 \\ 0 & 2 \end{pmatrix} \times \begin{pmatrix} 4 & y \\ -2 & 3 \end{pmatrix}
   \]
   Perform the multiplication:
   \[
   MN = \begin{pmatrix} (-1)(4) + (3)(-2) & (-1)(y) + (3)(3) \\ (0)(4) + (2)(-2) & (0)(y) + (2)(3) \end{pmatrix}
   = \begin{pmatrix} -4 - 6 & -y + 9 \\ -4 & 6 \end{pmatrix}
   = \begin{pmatrix} -10 & -y + 9 \\ -4 & 6 \end{pmatrix}
   \]

4. **Equating \( 2K - L = MN \):**
   \[
   \begin{pmatrix} -2z - 4 & 4 - x \\ -y - 3 & 6 \end{pmatrix} = \begin{pmatrix} -10 & -y + 9 \\ -4 & 6 \end{pmatrix}
   \]

   By comparing each corresponding element, we get the following equations:
   - \( -2z - 4 = -10 \)
   - \( 4 - x = -y + 9 \)
   - \( -y - 3 = -4 \)
   - \( 6 = 6 \) (which is always true)

5. **Solve the equations:**
   - From \( -2z - 4 = -10 \):
     \[
     -2z = -6 \implies z = 3
     \]
   - From \( -y - 3 = -4 \):
     \[
     -y = -1 \implies y = 1
     \]
   - From \( 4 - x = -y + 9 \):
     \[
     4 - x = -1 + 9 \implies 4 - x = 8 \implies x = -4
     \]

6. **Find \( x + y - z \):**
   \[
   x + y - z = (-4) + 1 - 3 = -6
   \]

### Conclusion
The value of \( x + y - z \) is \( -6 \), which corresponds to option C.

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### Related Questions:
1. What is matrix multiplication, and how do you perform it?
2. How can you solve a system of linear equations derived from matrices?
3. What is the importance of matrix equations in linear algebra?
4. How do you find the inverse of a 2x2 matrix?
5. What are some real-life applications of matrix operations?

**Tip:** Always verify each step when solving matrix equations to avoid calculation errors.

Diketahui matriks K = ( -z  2 \ 1  0 ), L = ( 4  x \ y+5  -6 ), M = ( -1  3 \ 0  2 ), dan N = ( 4  y \ -2  3 ). Jika 2K - L = MN, nilai x + y - z = ?

Learn how to solve the matrix equation 2K - L = MN to find the values of x, y, and z, then calculate x + y - z. This problem involves key matrix operations such as multiplication and subtraction. Suitable for high school students in Grades 10-12.

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