How many solutions does the system of equations have? 8x−6y=48 8x+6y=48 (1 point) Responses none none two two one one infinite infinite

Answer 1

The system of equations is:

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

If we add the two equations together, the term with y will cancel out:

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

Substituting x = 6 into either of the original equations, we can solve for y:

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

Therefore, the system of equations has one solution: (x, y) = (6, 0).
The correct answer is: one.