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### Problem 4: Price of Jackets
We are given:
1. The price of 3 jackets A and 2 jackets B is Rp 370,000.
2. The price of 2 jackets A and 5 jackets B is Rp 430,000.

Let:
- \( x \) be the price of one jacket A.
- \( y \) be the price of one jacket B.

The system of equations is:
1. \( 3x + 2y = 370,000 \)
2. \( 2x + 5y = 430,000 \)

#### Solving the System:
Multiply the first equation by 5 and the second by 2 to eliminate \( x \):
1. \( 15x + 10y = 1,850,000 \)
2. \( 4x + 10y = 860,000 \)

Subtract the second equation from the first:
\[
11x = 990,000
\]
\[
x = 90,000
\]

Now substitute \( x = 90,000 \) back into the first equation:
\[
3(90,000) + 2y = 370,000
\]
\[
270,000 + 2y = 370,000
\]
\[
2y = 100,000
\]
\[
y = 50,000
\]

**Result**:
- Price of Jacket A: Rp 90,000
- Price of Jacket B: Rp 50,000

### Problem B: Solving Equations
1. **Equation**: \( x + 3 = 2x + 8 \)
   - Rearrange: \( x - 2x = 8 - 3 \)
   - Solution: \( x = -5 \)

2. **Equation**: \( 3x + 5 = x + 3 \)
   - Rearrange: \( 3x - x = 3 - 5 \)
   - Solution: \( 2x = -2 \) → \( x = -1 \)

3. **Equation**: \( 2x + 6 = x - 5 \)
   - Rearrange: \( 2x - x = -5 - 6 \)
   - Solution: \( x = -11 \)

Would you like more details or explanations on any part of these solutions?

### 5 Related Questions:
1. What would be the price if 4 jackets A and 3 jackets B were bought?
2. How can the elimination method be used in other systems of equations?
3. What are alternative methods to solve systems of equations, like substitution?
4. If the price of jacket A increased by 10%, what would be the new price?
5. How can equations with variables on both sides be solved efficiently?

### Tip:
For solving systems of equations, try aligning equations to quickly identify a variable to eliminate, making the process faster.

Harga 3 jaket A dan 2 jaket B adalah Rp 370,000. Harga 2 jaket A dan 5 jaket B adalah Rp 430,000. Berapa harga jaket masing-masing?

Solve for the price of jacket A and jacket B using a system of equations. Given: 3 jackets A and 2 jackets B cost Rp 370,000, and 2 jackets A and 5 jackets B cost Rp 430,000. This problem covers algebraic concepts and elimination methods. Suitable for Grades 8-10.

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