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If ` 4x + 6y = 3 xy and 8x + 9y = 5xy ` then

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If ` 4x + 6y = 3 xy and 8x + 9y = 5xy ` then
A. ` x = 2, y = 3 `
B. `x= 1, y = 2 `
C. ` x = 3, y = 4 `
D. `x = 1, y = - 1 `
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Correct Answer - C
Divide throughout by xy and put `(1)/(x) = u and (1)/(y) =v ` to get
` 4 v + 6u= 3 " " `... (i) and ` 8v + 9y = 5." " `... (ii)
This gives `u= (1)/(3) and v = (1)/(4)`. Hence, `x = 3 and y = 4`.
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