Final answer:
The system of equations has infinitely many solutions.
Step-by-step explanation:
The system of equations is:
y = 3x + 4
2y - 8 = 6x
To determine the number of solutions, we can solve the system of equations. We can start by solving the second equation for y:
2y - 8 = 6x
2y = 6x + 8
y = 3x + 4
Now we have both equations in the same form (y = 3x + 4), so they represent the same line. The system of equations is consistent and dependent, meaning that it has infinitely many solutions. In other words, every point on the line y = 3x + 4 is a solution to the system of equations.