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

Number of Small Cones Sold=22

Number of Large Cones Sold=34

Step-by-step explanation:

Suppose,

Number of Small Cones Sold: s

Number of Large Cones Sold: l

For the condition that, larges cones sold were 12 more than small ones, equation would be

and for the total revenue condition of $163

By solving equation (i) and (ii) simultaneously, we get

s=22

and

l=34

Hence, small cones sold would be 22 and large cones sold would be 34.