What value of b will cause the system to have an infinite number of solutions? y = 6x – b –3x + 1/2y = –3

Y = 6x - b

-3x + 1/2y = -3...multiply by 2
-6x + y = -6
y = 6x - 6

so for this system, the b would have to be -6...because then, both lines will have the exact same equation...meaning infinite solutions

The solution above is correct but b is not (-6), it's (+6).

Hope this helps :)