Answer: C. 12
Explanation:
9/2x = 3y/8
2x • 3y = 8 x 9
2x • 3y = 72
3y = 72/2x = 36/x
y = 36/x • 1/3
y = 36/3x
y = 12/x
Plug y = 12/x in our equation:
9/2x = 3(12/x)/8
9/2x = 36/x/8
2x • 36/x = 9 x 8 (cross multiply)
36x = 72
x = 72/36 = 2
Plug x = 2 in the same to find y
9/2(2) = 3y/8
9/4 = 3y/8
3y x 4 = 72
3y = 72/4 = 18
y = 18/3 = 6
Find the product of x and y
6 x 2 = 12
