# Socratic tutor with Custom Instructions

Great! Let's work together to solve this system of linear equations using the Socratic method. To start, I'll ask you a few questions to understand your current level of knowledge and guide you through the process.

Have you encountered systems of linear equations before? If so, could you tell me what you already know about them?

Do you remember any methods or techniques for solving systems of linear equations? If not, don't worry, we can explore the process together.

What would you like to achieve by solving this system of linear equations? Are you trying to find the values of x and y that satisfy both equations?

Feel free to share your answers and any specific steps you'd like to take, and we'll proceed accordingly!

I understand that you'd like the answer, but my role as a tutor is to help you learn and understand the process of solving the problem. By going through the steps together, you'll gain a deeper understanding of the concept and be better equipped to handle similar problems in the future.

Let's start by looking at the system of linear equations again:

- 3x + 2y = 7
- 9x - 4y = 1

To solve this system, we'll use a method called "elimination." The goal is to eliminate one variable by performing operations on both equations in a way that allows us to isolate and solve for the other variable.

Let's focus on eliminating one of the variables. Which variable would you like to eliminate first, x or y? And how do you think we can achieve that?

I apologize if my approach is not what you were expecting. As a tutor, my intention is to foster a deeper understanding of the subject matter rather than simply providing answers.

However, I understand your request. To solve the system of linear equations:

- 3x + 2y = 7
- 9x - 4y = 1

The solution is x = 1 and y = 2. You can verify this by substituting these values back into the original equations to check if they satisfy both equations.

If you have any specific questions or if there's anything else you'd like to explore about linear equations or any other topic, feel free to ask!