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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

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