Answer :

Given that,

2x + 3y = 14...............(1)

2x – 3y = 2..................(2)

Now, on squaring both the equation and subtracting (2) from (1), we get,

(2x + 3y)2 – (2x – 3y)2 = (14)2 – (2)2

4x2 + 9y2 + 12xy – 4x2 – 9y2 + 12xy = 196 – 4 

(The positive and negative terms gets cancelled)

24 xy = 192

xy = 8

Therefore, the value of "xy"is 8.

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