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Question

# Solve: 8u - 3v = 5uv 6u - 5v = -2uv

A
u=1323,v=2233
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B
u=115,v=1322
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C
u=1123,v=2231
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D
Insufficient data
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E
None of the above
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Solution

## The correct option is C u=1123,v=22318u - 3v = 5uv, 6u - 5v = -2uv Dividing both equations by uv, we get 8v−3u=5 and 6v−5u=−2, Putting, 1v=x and 1u=y, we get 8x−3y=5……(1) and 6x−5y=−2……(2) Multiplying Equation (1) and Equation (2) by 6 and 8, respectively, we have, 48x−18y=30 and 48x−40y=16 Subtracting the second equation from the first, we get 22y=46, i.e., y=−2311 From Equation (1), x=(5+3y8)=(5+3(2311))8=3122 ∴u=1y=1123 and v=1x=2231

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