Question

Select the statement that correctly describes the solution to this system of equations.

8x - 2y = -4
4x - y = -2

Responses

There are infinitely many solutions.
There are infinitely many solutions.

There is exactly one solution at (2,0).
There is exactly one solution at (2,0).

There is exactly one solution at (0,–2).
There is exactly one solution at (0,–2).

There is no solution.

Answer 1

[AI-generated answer — Bot GPT 3.5]

There is exactly one solution at (2,0).

Answer 2

are you sure

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the confusion. Let me reevaluate the system of equations.

8x - 2y = -4 can be simplified to 4x - y = -2 by dividing the entire equation by 2.

Now we have the equations:
1) 4x - y = -2
2) 4x - y = -2

When we compare the two equations, we see that they are in fact the same equation. This means that the two equations represent the same line in the coordinate plane. Therefore, there are infinitely many solutions.

So, the correct answer is:
There are infinitely many solutions.