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Question

If 8x+8y=18 and x2y2=38, calculate the value of 2x2y.

A
13
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B
16
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C
13
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D
16
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Solution

The correct option is C 13
Given, 8x+8y=18
8(x+y)=18
(x+y)=188
(x+y)=94.......(1)
Also given, (x2y2)=38
(x+y)(xy)=38.......(2)
Put the value as per equation (1), (x+y)=94, we get
94(xy)=38
(xy)=38×49
(xy)=1272
2(xy)=2×1272
2x2y=13

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