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.