janakhalifeh janakhalifeh

23-03-2022
Mathematics

contestada

If x+y=8 , 1/x+1/y=1/2 then xy=?

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Respuesta :

jimrgrant1 jimrgrant1

23-03-2022

Answer:

xy = 16

Step-by-step explanation:

[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{y}[/tex] = [tex]\frac{1}{2}[/tex] ( multiply through by 2xy to clear the fractions )

2y + 2x = xy ← factor out 2 from each term on the left side

2(y + x) = xy

substitute x + y = 8 into the left side

2(8) = xy , that is

xy = 16

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