Question

16. If 2x + 3y = 14 and 2x – 3y = 2, find the value of xy.
[Hint: Use (2x + 3y)2 – (2x – 3y)2 = 24xy]​

Answer 1

Answer:

x=4

y=2

xy=8

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Step-by-step explanation:

2x+3y=14 and 2x-3y=2            

(2x+3y)-(2x-3y)=14-2                       (Subtracting the equations)

2x+3y-2x+3y=12                             (Removing the brackets)

6y=12

y=12/6

 =2

2x-3 x 2=2                                         (Substituing the value of y)

2x-6=2

2x=8

x=8/2

 =4

Therefore,xy= 4 x 2 = 8