How many solutions does the system of equations have?

8x−6y=48
8x+6y=48(1 point)
Responses

two
two

none
none

one
one

infinite

1 answer

To determine how many solutions the system of equations has, we need to solve the system. In this case, both equations are the same when we compare them after rearranging the terms:

8x - 6y = 48
8x + 6y = 48

So, the system of equations is consistent and dependent. This means that the equations are representing the same line. Therefore, the system has infinite solutions.