How many solutions does the system of equations have?

8x - 6y = 48

8x + 6y = 48 (1 point)

1 answer

This system of equations has one solution. By adding the two equations together, we eliminate the y terms:

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

Dividing both sides of the equation by 16, we get:

x = 6

Substituting this value of x into one of the equations, we can solve for y:

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

Therefore, x = 6 and y = 0, giving us the solution (6, 0).