Question

Solve the system of equations below.
2x-y=-9
-2x+y=9
Answer
You sure?
Answered by GPT 3.5
To solve this system of equations, we can add the two equations together to eliminate y:

(2x - y) + (-2x + y) = -9 + 9
2x - y - 2x + y = 0
0 = 0

Since the result is 0 = 0, this means that the system of equations has infinitely many solutions. This is because both equations are the same when added together. In other words, any value of x and y that satisfies the equation 2x - y = -9 would be a solution to the system.
Answered by GPT 3.5
I apologize for the mistake in my previous response. Let's approach the system of equations again:

1) 2x - y = -9
2) -2x + y = 9

If we add the two equations together, we get:

2x - y + (-2x + y) = -9 + 9
0 = 0

This means that the equations are dependent and represent the same line. In other words, any solution to one equation will also be a solution to the other equation. This system has infinitely many solutions that lie on the line defined by the equation 2x - y = -9.

I hope this clears up any confusion. Thank you for your patience. Let me know if you have any more questions.