How many solutions does the system of equations have?

8x−6y=48
8x+6y=48 (1 point)
Responses

none
none

infinite
infinite

two
two

one
one STEP BY STEP BOT IS SAYING ITS NONE AND BOT GPT SAYS ITS ONE WHICH ONE IS IT

1 answer

The correct answer is one.

To solve the system of equations, we can add the two equations together:

(8x - 6y) + (8x + 6y) = 48 + 48
16x = 96
x = 6

Substituting x = 6 into either equation, we can find the value of y:

8(6) - 6y = 48
48 - 6y = 48
-6y = 0
y = 0

Therefore, the solution to the system of equations is x = 6, y = 0. There is only one solution.