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The question is asking for the values of \( x \) and \( y \) that satisfy the given matrix equation:

\[
\begin{pmatrix} 2 & 4 \\ 3 & 5 \end{pmatrix} + \begin{pmatrix} 1 & -3 \\ -3x & 4y + x \end{pmatrix} = \begin{pmatrix} 3 & 1 \\ -9 & 17 \end{pmatrix}
\]

Let's break it down by equating each element of the matrices on both sides.

### Step 1: Set Up Equations by Element-Wise Comparison
1. For the element in the first row, first column:
   \[
   2 + 1 = 3
   \]
   This equation is satisfied without needing \( x \) or \( y \).

2. For the element in the first row, second column:
   \[
   4 + (-3) = 1
   \]
   This equation is also satisfied without needing \( x \) or \( y \).

3. For the element in the second row, first column:
   \[
   3 + (-3x) = -9
   \]
   Simplifying, we get:
   \[
   -3x = -12 \Rightarrow x = 4
   \]

4. For the element in the second row, second column:
   \[
   5 + (4y + x) = 17
   \]
   Substitute \( x = 4 \):
   \[
   5 + (4y + 4) = 17
   \]
   \[
   4y + 9 = 17
   \]
   \[
   4y = 8 \Rightarrow y = 2
   \]

### Solution
The values of \( x \) and \( y \) are \( x = 4 \) and \( y = 2 \).

### Answer
The correct option is **C. 4 dan 2**.

Would you like a further breakdown of any step? 

Here are some related questions:
1. How do you solve for variables in a system of linear equations using matrices?
2. What are the rules for adding matrices element-wise?
3. How do you verify solutions in matrix equations?
4. Can matrices with different dimensions be added or subtracted?
5. What other methods exist to solve for unknowns in matrix equations?

**Tip:** Always verify each element in a matrix equation individually to ensure all parts are satisfied.

Nilai x dan y berturut-turut dari \[ \begin{pmatrix} 2 & 4 \\ 3 & 5 \end{pmatrix} + \begin{pmatrix} 1 & -3 \\ -3x & 4y + x \end{pmatrix} = \begin{pmatrix} 3 & 1 \\ -9 & 17 \end{pmatrix} \] adalah ....

Learn how to find the values of x and y in the matrix equation \( \begin{pmatrix} 2 & 4 \\ 3 & 5 \end{pmatrix} + \begin{pmatrix} 1 & -3 \\ -3x & 4y + x \end{pmatrix} = \begin{pmatrix} 3 & 1 \\ -9 & 17 \end{pmatrix} \) through element-wise comparison. This example is suitable for high school students studying matrix operations and algebraic methods.

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