1. a and b are constant. I need to find the values of a and b that will make the system a a)unique solution, b)no solution, and c)infinitely many solution. 4x - 2y = 9 ax + by = 6 I know how to do it for a one variable constant. Say instead of a and b there was a k, but i do not know what steps to take to solve for two variable constant. 2. Relevant equations 3. I solve for infinitely many solution and i got a = 8/3 and b = 4/3. but I'm having problems on solving for no solution. I tried to get the coefficients the same, but you cannot multiply it by any number to make it the same coefficient as the first equation. So, i just got a = 4 b = -2 from the equations. and that seems to work. i was wondering if that is correct to do. For a unique solution, if i just plug in a = 4 and b = 2 that gives me two intersecting line. but i was wondering how do I actually solve it to get a unique solution. What are the steps?