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Question

If [x+yy2xx−y][2−2]=[32] then x−y is equal to

A
2
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B
2
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C
4
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D
6
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Solution

The correct option is A 2
Comparing LHS and RHS gives us
2x+2y2y=3 ...(i)
And
4x2x+2y=2 ...(ii)
from i
2x=3 and from ii
2x+2y=2
Therefore
3+2y=3
y=12 and x=32
Hence
xy=32(12)
=42
=2.

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