How many solutions does the system of equations have?%0D%0A8x−6y=48%0D%0A8x+6y=48(1 point)

1 answer

The system of equations can be represented as:

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

By adding the two equations together, the 8x terms will cancel out:

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

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

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

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