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Solve: 9xxx9x+72-(x-x-27)=36 - Mathematics

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Question

Solve: `("9x" + 7)/2 - ("x" - ("x" - 2)/7) = 36`

Sum

Solution

`("9x" + 7)/2 - ("x" - ("x" - 2)/7) = 36`


`=> ("9x" + 7)/2 - ((7 xx x - 1("x" - 2))/7) = 36`


`=> ("9x" + 7)/2 - ((7"x" - "x" + 2)/7) = 36`


`=> ("9x" + 7)/2 - (("6x" + 2)/7) = 36`


`=> (7(9"x" + 7) - 2(6"x" + 2))/14 = 36`


`=> (63"x" + 49 - "12x" - 4)/14 = 36`

`=> (63"x" + 49 - "12x" - 4) = 36 xx 14`

⇒ 51x + 45 = 504

⇒ 51x = 504 - 45

⇒ 51x = 459

 ⇒ `x = 459/51`

∴ x = 9

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Solving Linear Inequations
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Chapter 14: Linear Equations in one Variable - Exercise 14 (C) [Page 170]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 14 Linear Equations in one Variable
Exercise 14 (C) | Q 1.13 | Page 170
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