To have infinitely many solutions, the two equations must be dependent, which means one equation can be obtained from the other by a combination of addition, subtraction, or multiplication by a constant.
To find the second equation that would make the system have infinitely many solutions, we need to manipulate the first equation to obtain the second equation.
The first equation is -17x + y = 24.
Multiplying both sides by 2 gives: -34x + 2y = 48
Therefore, the second equation that would make the system have infinitely many solutions is B) 34x - 2y = 48, which is obtained by multiplying the first equation by -2.