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Question

Solve:
2(3u - v) = 5uv
2(u + 3v) = 5uv

A
u = 2, v = 1
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B
u = 3, v = 2
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C
u = 4, v = 3
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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 A u = 2, v = 1
2(3uv)=5uv6v2u=5

2(u+3v)=5uv2v+6u=5

Putting 1v=x and 1u=y, we get

6x2y=5(1)

2x+6y=2(2)

Multiplying Equation (1), and Equation (2) by 3 and 1 respectively, we have

18x6y=15 and 2x+6y=5

Adding these two equations, we get 20x=20, i.e., x=1

From Equation (1), y=(6x52)=(6×152)=12

u=1y=2 and v=1x=1

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