Matematika Sekolah Menengah Pertama Help me..Jika x/y = 5/3 ,maka xy/x+y adalah?​

cesarwilliamsonulv – April 20, 2023

Help me..

Jika x/y = 5/3 ,maka xy/x+y adalah?​

Jawab:

Penjelasan dengan langkah-langkah:

[tex]\dfrac{x+y}{xy} = \dfrac{1}{x}+\dfrac{1}{y}\\\\\dfrac{xy}{x+y} =\dfrac{1}{\dfrac{1}{x}+\dfrac{1}{y}}\\\\\dfrac{xy}{x+y} =\dfrac{1}{\dfrac{1}{x}+\dfrac{1}{x}\cdot \dfrac{x}{y}}\\\\\boxed{\boxed{\dfrac{xy}{x+y} =\dfrac{1}{\dfrac{1}{x}\left(1+\dfrac{5}{3}\right)} = \dfrac{3x}{8}}}[/tex]

Penyelesaian :

[tex] \frac{x + y}{x \times y} = \frac{1}{x} + \frac{1}{y} \\ \\ \frac{xy}{x + y} = \frac{1}{ \frac{1}{x} + \frac{1}{x} \times \frac{1}{y} } \\ \\ = \frac{3x}{8} [/tex]

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I hope this helps :)

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