Home AI News Guiding Through Linear Equations: Utilizing the Socratic Method for Problem-Solving
The user seeks help in solving a system of linear equations: 3x + 2y = 7 and 9x – 4y = 1. GPT-4 starts by suggesting a way to eliminate one variable by combining the equations, encouraging the user to critically analyze the problem.

### Step 2: Guiding Critical Thinking

The user impatiently demands the answer, but GPT-4 insists on fostering critical thinking. GPT-4 asks the user if there are any common factors among the coefficients of the variables in the equations.

### Step 3: Finding the Right Multiplication Factor

The user’s frustration grows, but GPT-4 perseveres, emphasizing the importance of guiding the user towards the answer. GPT-4 focuses on the coefficients of the x terms in both equations, encouraging the user to multiply the first equation by a number that makes the x coefficients match.

### Step 4: Navigating the Learning Process

The user continues to struggle, but GPT-4 provides gentle guidance, helping the user realize that multiplying the first equation by 3 achieves the desired result. GPT-4 redirects the user’s attention to the y coefficient to minimize errors.

### Step 5: Success! Eliminating a Variable

After some trial and error, the user correctly multiplies the first equation by 3, obtaining 9x + 6y = 21. GPT-4 acknowledges this progress and prompts the user to explore ways to eliminate variables by combining equations.

### Step 6: Subtracting Equations to Simplify

The user suggests subtracting equation 2 from equation 1, a great strategy. GPT-4 praises the idea and encourages the user to determine the resulting equation.