Respuesta :

carlpeters243

Answer:

15/19

Step-by-step explanation:

6/x +2/5 = 8

(multiply through by x)

6 + 2x/5 = 8x

(minus 8x from both sides)

-38x/5 + 6 = 0

(subtract 6 from both sides)

-38x/5 = -6

(times by -1)

38x/5 = 6

Times 6 by 5 and then divide by 38.

=15/19

GodSlayer007

Answer:-

[tex]\pink{\bigstar}[/tex] Value of x [tex]\large\leadsto\boxed{\tt\purple{\dfrac{15}{19}}}[/tex]

• Given:-

  • [tex]\sf \dfrac{6}{x} + \dfrac{2}{5} = 8[/tex]

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• To Find:-

  • Value of x.

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• Solution:-

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➪ [tex]\sf \dfrac{6}{x} = 8 - \dfrac{2}{5}[/tex]

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• Taking L.C.M:-

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➪ [tex]\sf \dfrac{6}{x} = \dfrac{40-2}{5}[/tex]

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➪ [tex]\sf \dfrac{6}{x} = \dfrac{38}{5}[/tex]

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• Cross multiplying:-

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➪ [tex]\sf 6 \times 5 = 38 \times x[/tex]

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➪ [tex]\sf 30 = 38 \times x[/tex]

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• Taking x term one side:-

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➪ [tex]\sf x = \dfrac{30}{38}[/tex]

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• Simplifying the fraction:-

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➪ [tex]\large{\bold\red{x = \dfrac{15}{19}}}[/tex]

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Therefore, value of x is 15/19.

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