Solve: ("X" + 2)/6 - ((11 - "X")/3 - 1/4) = (3"X" - 4)/12 - Mathematics

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Sum

Solve: `("x" + 2)/6 - ((11 - "x")/3 - 1/4) = (3"x" - 4)/12`

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Solution

`"x" + 2/6 - 11 - "x"/3 - 1/4 = 3"x" - 4/12`


`=> ("x" + 2)/6 - (4(11 - x) - 1 xx 3)/12 = (3"x" - 4)/12`


`=> ("x" + 2)/6 - (44 + 4x + 3)/12 = (3"x" - 4)/12`


`=> (2("x" + 2) - 41 + 4"x")/12 = (3"x" - 4)/12`


`=> (2"x" + 4 - 41 + 4"x")/12 = (3"x" - 4)/12`


`=> (6"x" - 37)/12 = (3"x" - 4)/12`

⇒ 12(6x - 37) = 12(3x - 4)

⇒ 72x - 444 = 36x - 48

⇒ 72x - 36x = -48 + 444

⇒ 36x = 396

⇒ x = `396/36 = 11`

∴ x = 11

Concept: Solving Linear Inequations
  Is there an error in this question or solution?
Chapter 14: Linear Equations in one Variable - Exercise 14 (C) [Page 169]

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Selina Concise Mathematics Class 8 ICSE
Chapter 14 Linear Equations in one Variable
Exercise 14 (C) | Q 1.08 | Page 169

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