https://file.aiquickdraw.com/mathbot/file/1726776903667zn8o2ya7.jpg

The image shows a system of two linear equations, representing the prices of pencils and cakes. Let's write down and solve the system:

1. \( 2 \text{ pencils} + 2 \text{ cakes} = 10,000 \)
2. \( 3 \text{ pencils} + 4 \text{ cakes} = 25,000 \)

We want to find the price of 1 pencil (\(x\)) and 1 cake (\(y\)).

The equations can be written as:
1. \( 2x + 2y = 10,000 \)
2. \( 3x + 4y = 25,000 \)

Now, I'll solve this system of equations.The solution to the system of equations is:

- The price of 1 pencil (\(x\)) is \(-5,000\) (which is not realistic, suggesting a possible error in the formulation or data),
- The price of 1 cake (\(y\)) is \(10,000\).

This negative result implies there might be some mistake or inconsistency in the problem setup. Would you like to recheck or clarify any part of the question?

Here are 5 follow-up questions for better understanding:
1. Would you like to verify the given equations?
2. Could there be a different context behind the numbers?
3. Do you need an explanation on how the system was solved?
4. Would you like to change any values and solve again?
5. Do you want more examples of solving linear equations?

**Tip:** When solving systems of equations, check if the results make sense in real-world contexts like prices.

2 pencils + 2 cakes = 10,000, 3 pencils + 4 cakes = 25,000. Find the price of one pencil and one cake.

Learn how to solve a system of linear equations involving the prices of pencils and cakes. This detailed solution walks through key concepts, formulas, and methods to solve the system using substitution or elimination. Ideal for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation