The correct option is C x=2, #160; y=3 xy x+y = 6 5 = gt;5xy=6x+6y = gt;6x=5xy 6y xy y x =6 = gt;xy=6y 6x = ...

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Byju's Answer

Standard XII

Mathematics

Forming Inequalities from statement

xyx+y=65 xyy...

Question

$\frac{x y}{x + y} = \frac{6}{5}$
$\frac{x y}{y - x} = 6$

x = - 2, y = 3

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x = 3, y = 2

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x = 2, y = 3

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x = - 3, y = - 2

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Solution

The correct option is C $x = 2, y = 3$
$\frac{x y}{x + y} = \frac{6}{5} => 5 x y = 6 x + 6 y => 6 x = 5 x y - 6 y \frac{x y}{y - x} = 6 => x y = 6 y - 6 x => 6 x = 6 y - x y 5 x y - 6 y = 6 y - x y => 6 x y = 12 y => x = 2 6 \times 2 = 5 \times 2 y - 6 y => 12 = 10 y - 6 y => 4 y = 12 => y = 3$

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Similar questions

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xyx+y=65xyy−x=6

The correct option is C x=2,y=3xyx+y=65=>5xy=6x+6y=>6x=5xy−6yxyy−x=6=>xy=6y−6x=>6x=6y−xy5xy−6y=6y−xy=>6xy=12y=>x=26×2=5×2y−6y=>12=10y−6y=>4y=12=>y=3

$\frac{x y}{x + y} = \frac{6}{5}$
$\frac{x y}{y - x} = 6$

The correct option is C $x = 2, y = 3$
$\frac{x y}{x + y} = \frac{6}{5} => 5 x y = 6 x + 6 y => 6 x = 5 x y - 6 y \frac{x y}{y - x} = 6 => x y = 6 y - 6 x => 6 x = 6 y - x y 5 x y - 6 y = 6 y - x y => 6 x y = 12 y => x = 2 6 \times 2 = 5 \times 2 y - 6 y => 12 = 10 y - 6 y => 4 y = 12 => y = 3$