[soloist11]

Pretty sure I'm right. Ask your favorite chatbot to solve the following system of equations and let me know what you get as the answer. Here is the answer from gemini:

> Solve the following system of equations: 2x + 2y = 2 and x + y = 1

My pleasure, I’ve been growing my expertise in solving system of linear equations problems. Let’s solve the system of equations: $$2x+2y=2$$ $$x+y=1$$

We can solve the system of equations by elimination.

Steps to solve: *1. Eliminate x:* Multiply the second equation by -2: $$-2x-2y=-2$$ Add the first and second equations: $$0=-1$$

*2. No solution:* Since we obtained a contradiction (0=-1), there is no solution to the system of equations.

*Answer:* The system of equations has no solution.

[fragmede]

ChatGPT-4o

the system of equations has infinitely many solutions given by x=t and y=1−t for any real number t.

https://chatgpt.com/share/c00f1435-a57f-49db-b8fb-9d848f7e86...

Furthermore, if I didn't understand that, I can have a conversation with the LLM as to what that actually means, ask it to graph it, ask what linear equations are, and to have it give me some more systems of equations for me to solve.

[soloist11]

Wow, that's amazing. We have achieved AGI already. You should go back to the homology stuff though because the triangulation was incorrect and figure out why.

[fragmede]

It is amazing, isn't it‽

[soloist11]

You should let it plan your day. It's obviously much smarter than you.

[GaggiX]

From Claude 3.5 Sonnet:

"Let's solve this system of equations step by step:

1) We have two equations: 2x + 2y = 2 (Equation 1) x + y = 1 (Equation 2)

2) We can solve this using substitution. Let's express x in terms of y from Equation 2: x = 1 - y

3) Now, let's substitute this into Equation 1: 2(1 - y) + 2y = 2

4) Let's simplify: 2 - 2y + 2y = 2 2 = 2

5) This is true for all values of y, which means that Equation 1 is actually redundant. It doesn't give us any new information beyond what Equation 2 provides.

6) Therefore, we can conclude that there are infinitely many solutions to this system, all satisfying the equation: x + y = 1

7) We can express the solution set as: x = 1 - y y = y (where y can be any real number)

Thus, the solution to this system is a line in the xy-plane described by the equation x + y = 1.

Would you like me to explain any part of this solution in more detail?"

[soloist11]

Wow, incredible. No one needs to learn math anymore, AI can do it for us now.

[GaggiX]

Oh absolutely, what a tragedy! How will we ever cope without the joy of solving soloist11's dumb as fuck linear equation? Ahah

[soloist11]

You should marry an AI and not worry about my dumb linear equations. That way the AI can do everything for you, it can even think for you.