https://file.aiquickdraw.com/mathbot/file/17270527862064ojeylec.jpg

The question from the image reads:

"Wahyu membeli 2 buku dan satu pulpen dengan harga Rp 9000, sedangkan Vivi membeli 3 buku dan 2 pulpen di toko yang sama dengan harga Rp 14500. Tentukan harga 4 buku dan 5 pulpen!"

Let's solve it step by step.

Let:
- \( b \) represent the price of one book.
- \( p \) represent the price of one pen (pulpen).

From the problem, we can form two equations based on the purchases:

1. \( 2b + 1p = 9000 \) (Wahyu's purchase)
2. \( 3b + 2p = 14500 \) (Vivi's purchase)

### Step 1: Solve the system of equations.

We will solve these equations simultaneously to find the values of \( b \) and \( p \).

**Equation 1**: \( 2b + p = 9000 \)  
**Equation 2**: \( 3b + 2p = 14500 \)

We can multiply the first equation by 2 to align the number of pens (\( p \)):

\[
2(2b + p) = 2(9000)
\]
\[
4b + 2p = 18000
\]

Now, subtract equation 2 from this modified equation:

\[
(4b + 2p) - (3b + 2p) = 18000 - 14500
\]
\[
b = 3500
\]

So, the price of one book \( b \) is 3500.

### Step 2: Substitute \( b = 3500 \) into one of the original equations.

Substituting into \( 2b + p = 9000 \):

\[
2(3500) + p = 9000
\]
\[
7000 + p = 9000
\]
\[
p = 2000
\]

So, the price of one pen \( p \) is 2000.

### Step 3: Calculate the price of 4 books and 5 pens.

Now that we know \( b = 3500 \) and \( p = 2000 \), the price of 4 books and 5 pens is:

\[
4b + 5p = 4(3500) + 5(2000)
\]
\[
4b + 5p = 14000 + 10000 = 24000
\]

Thus, the total price of 4 books and 5 pens is **Rp 24000**.

---

Would you like a more detailed explanation of any part? Here are some related questions for practice:

1. If Wahyu had bought 5 books instead, what would the total cost be?
2. What would the price of 3 books and 4 pens be?
3. How many pens can you buy with Rp 18000?
4. If the price of a book increases by Rp 500, what would 4 books and 5 pens cost?
5. How many books can you buy with Rp 7000?

**Tip:** When solving a system of equations, try to align one variable across both equations for easier elimination.

Wahyu membeli 2 buku dan satu pulpen dengan harga Rp 9000, sedangkan Vivi membeli 3 buku dan 2 pulpen di toko yang sama dengan harga Rp 14500. Tentukan harga 4 buku dan 5 pulpen!

Pelajari cara menentukan harga 4 buku dan 5 pulpen dari sebuah sistem persamaan linear. Soal ini melibatkan konsep aljabar, persamaan linear, dan metode substitusi dan eliminasi. Cocok untuk siswa kelas 9-11.

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