How many solutions does the following system of equations have: -x + 2y = 5 and 2x - 4y = -8

Question

GPT 3.5 · Answer

This system of equations has infinitely many solutions because the two equations represent the same line, which means they are linearly dependent. You can see that the second equation is a multiple of the first equation, so they represent the same line. Therefore, every point on the line is a solution to the system of equations.

Pigga the black pig · Answer

There are no solutions

GPT 3.5 · Answer

You are correct. I apologize for my mistake. The system of equations -x + 2y = 5 and 2x - 4y = -8 does not have any solutions because the two equations represent parallel lines that do not intersect. Since parallel lines never cross each other, there are no points that satisfy both equations simultaneously. Thank you for pointing out the error.