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If $x /2 + y /3 = 4$ and $x /3 + y /2 = 13/3$ , find $x y$ .

Competition practiceAlgebra

A24
B20
C28
D10

Step-by-Step Solution

Clearing fractions:

3 x + 2 y = 24

and

2 x + 3 y = 26

. Solving gives

x = 4, y = 6

, so

x y = 24

.

Answer: A) 24

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