Given the system has no solution, find the value of a/b. Show your work.

3/4x - 1/2y = 12

ax - by = 9

A. 1/2

B. 3/4

C. 3/2

D. - 1/2

systems have no solution if they have the same slope, but different y-intercepts.

3/4x - 1/2y = 12, y = 2 (3/4x - 12) = 3/2x - 24

ax - by = 9, y = (ax-9) / b, = ax/b - 9/b

for the slopes to be the same, following must be true:

ax/b = 3/2x

a/b = 3/2

Correct answer is C

It'll be C or B with no soul took by finding the value.