Solve: "X" - ("X" - 1)/2 = 1 - ("X" - 2)/3 - Mathematics

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Sum

Solve: `"x" - ("x" - 1)/2 = 1 - ("x" - 2)/3`

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Solution

`"x" - ("x" - 1)/2 = 1 - ("x" - 2)/3`


`=> (2("x") -1("x" - 1))/2 = (3(1) - 1("x" - 2))/3`


`=> (2"x" - "x" + 1)/2 = (3 - "x" + 2)/3`


`=> (1"x" + 1)/2 = (5 - "x")/3`

⇒ 3(x + 1) = 2(5 - x)

⇒ 3x + 3 = 10 - 2x

⇒ 3x + 2x = 10 - 3

⇒ 5x = 7

`therefore "x" = 7/5`

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]

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 14 Linear Equations in one Variable
Exercise 14 (C) | Q 1.12 | Page 169

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