How many solutions does the system of equations have?

Question

8x−6y=48
8x+6y=48 (1 point)
Responses

none
none

infinite
infinite

two
two

one
one

bot gpt and step by step bot

Answer 1

To find the number of solutions in the given system of equations:

8x - 6y = 48 ...(1)
8x + 6y = 48 ...(2)

We can observe that equation (1) and equation (2) have the same coefficients and constant term except for the sign of the y-term. This means that the two equations represent the same line.

Since the two equations represent the same line, they have an infinite number of solutions. This implies that the correct answer is "infinite."