How many solutions does the system of equations have? 8x−6y=48 8x+6y=48

Answer 1

To find the number of solutions the system of equations has, we can solve the system of equations by adding the equations together:

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

Now, we substitute this value of x back into one of the original equations:

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

Therefore, the system of equations has one solution (6, 0).