Given the system of equations in x and y: 2x-3y=12 3x+ky=10 Could you choose k so the system had infinitely many solutions? If so, give k. If not, why not? I'm pretty sure that it CAN have infinitely many solutions because the number of equations is equal to the number of variables in the system. I'm just not sure how to find the value of k that would make this true. If anyone has any helpful ideas I'd REALLY appreciate it!