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The image discusses a linear system of two-variable equations (SPLDV - "Sistem Persamaan Linear Dua Variabel"). Here’s a breakdown of the content:

### Problem:
You are given two linear equations in two variables, \( x \) and \( y \):
1. \( 2x + 4y = 16,000 \)
2. \( x + 3y = 10,000 \)

The goal is to find the values of \( x \) and \( y \) that satisfy both equations simultaneously.

### Steps to Solve the System:

We can use either the substitution or elimination method. Here’s the elimination method:

1. Start with the two equations:
   \[
   2x + 4y = 16000 \quad \text{(1)}
   \]
   \[
   x + 3y = 10000 \quad \text{(2)}
   \]

2. Multiply equation (2) by 2 to align the coefficients of \( x \):
   \[
   2(x + 3y) = 2(10000)
   \]
   \[
   2x + 6y = 20000 \quad \text{(3)}
   \]

3. Subtract equation (1) from equation (3):
   \[
   (2x + 6y) - (2x + 4y) = 20000 - 16000
   \]
   \[
   2y = 4000
   \]
   \[
   y = 2000
   \]

4. Substitute \( y = 2000 \) into equation (2):
   \[
   x + 3(2000) = 10000
   \]
   \[
   x + 6000 = 10000
   \]
   \[
   x = 4000
   \]

### Solution:
- \( x = 4000 \)
- \( y = 2000 \)

This is the solution to the system of linear equations.

Would you like further details or explanations?

### Relative Questions:
1. How does the substitution method differ from the elimination method?
2. Can this system be solved graphically? How would the solution look on a graph?
3. What are some real-world applications of systems of linear equations?
4. How does changing the coefficients of the variables affect the solution?
5. Can this problem have no solution or infinite solutions? Under what conditions?

### Tip:
Always double-check your steps in solving a system of equations, especially when multiplying or subtracting terms, as small errors can change the entire solution.

Given the system of linear equations 2x + 4y = 16,000 and x + 3y = 10,000, solve for x and y.

Learn how to solve the system of linear equations 2x + 4y = 16,000 and x + 3y = 10,000 using the elimination method. This problem is suitable for students in Grades 9-10, covering key algebraic concepts.

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