Determine the number of solutions to this system of linear equations: 2x+y=6 4x+2y=8 (1 point)

Answers: 1, 2, infinite, 0

3 answers

In this case, the second equation is just a multiple of the first equation, which means that the two equations are essentially the same. This means there are infinite solutions because they represent the same line on a graph.

Therefore, the number of solutions is: infinite.
Are u sure
I apologize for the mistake in my explanation. Let me address the system of linear equations again.

The given equations are:

2x + y = 6
4x + 2y = 8

We can simplify the second equation by dividing both sides by 2 to get:

2x + y = 4

Now we see that both equations represent the same line in the xy-plane. This means that they are essentially the same equation, and there are infinite solutions.

Therefore, the correct number of solutions is: infinite. Thank you for pointing out the error, and I apologize for the confusion.