https://file.aiquickdraw.com/mathbot/file/1726632290281qcyp8ut4.jpg

The problem in the image can be solved using a system of linear equations. Let's define the variables:

- Let \( x \) be the price of one pair of shoes.
- Let \( y \) be the price of one pair of sandals.

We are given two pieces of information in the problem:

1. The price of 2 pairs of shoes and 3 pairs of sandals is Rp 175,000:
   \[
   2x + 3y = 175,000
   \]
   
2. The price of 3 pairs of shoes and 4 pairs of sandals is Rp 255,000:
   \[
   3x + 4y = 255,000
   \]

Now we have the system of equations:
\[
\begin{aligned}
    2x + 3y &= 175,000 \\
    3x + 4y &= 255,000
\end{aligned}
\]

We will solve this system to find \( x \) (the price of one pair of shoes) and \( y \) (the price of one pair of sandals). Once we find these values, we can calculate the price of one pair of shoes and two pairs of sandals, which is:
\[
x + 2y
\]

Let's calculate this now.The solution to the system of equations gives:

- The price of one pair of shoes (\( x \)) is Rp 65,000.
- The price of one pair of sandals (\( y \)) is Rp 15,000.

Therefore, the price of one pair of shoes and two pairs of sandals (\( x + 2y \)) is:
\[
65,000 + 2(15,000) = 95,000
\]

Thus, the correct answer is **Rp 95,000** (option b).

Do you have any questions or would you like further explanation? Here are some related questions you might consider:

1. How do you solve systems of equations with substitution?
2. What is the elimination method for solving simultaneous equations?
3. How can you check if a solution to a system of equations is correct?
4. What are some common mistakes in solving linear systems?
5. How can systems of equations be applied in real-world problems?

**Tip:** When solving systems of equations, always double-check your results by substituting the solutions back into the original equations to verify accuracy.

Harga 2 pasang sepatu dan 3 pasang sandal adalah Rp 175.000,00, sedangkan harga 3 pasang sepatu dan 4 pasang sandal adalah Rp 255.000,00. Harga sepasang sepatu dan 2 pasang sandal adalah ....

Learn how to solve a system of linear equations to find the price of one pair of shoes and two pairs of sandals. This math problem involves using algebraic methods to solve for unknown variables, suitable for Grades 6-8.

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