Question

Solve for x. 6/x+ 2/5 = 8

Answer 1

15/19

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

Answer 2

Answer:-

`\pink{\bigstar}` Value of x
`\large\leadsto\boxed{\tt\purple{(15)/(19)}}`

• Given:-

• 
  `\sf (6)/(x) + (2)/(5) = 8`

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• To Find:-

• Value of x.

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• Solution:-

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➪
`\sf (6)/(x) = 8 - (2)/(5)`

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• Taking L.C.M:-

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➪
`\sf (6)/(x) = (40-2)/(5)`

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➪
`\sf (6)/(x) = (38)/(5)`

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• Cross multiplying:-

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➪
`\sf 6 * 5 = 38 * x`

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➪
`\sf 30 = 38 * x`

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• Taking x term one side:-

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➪
`\sf x = (30)/(38)`

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• Simplifying the fraction:-

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➪
`\large{\bold\red{x = (15)/(19)}}`

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Therefore, value of x is 15/19.