Solve the Following Equation: "X"/3 - 2 1/2 = "4x"/9 - "2x"/3 - Mathematics

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Sum

Solve the following equation:

`"x"/3 - 2 1/2 = "4x"/9 - "2x"/3`

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Solution

⇒ `"x"/3 - 5/2 = "4x"/9 - "2x"/3`

Since, L.C.M. of denominators 3, 2, 9 and 3 = 18

⇒ `"x"/3 xx 18 - 5/2 xx 18 = "4x"/9 xx 18 - "2x"/3 xx 18`
  .....[Multiplying each term by 18]

⇒ 6x - 45 = 8x - 12x

⇒ 6x + 12x - 8x = 45

⇒ 18x - 8x = 45

⇒ 10x = 45

⇒ x = `45/10`

⇒ x = 4.5

Concept: Simple Linear Equations in One Variable
  Is there an error in this question or solution?
Chapter 14: Linear Equations in one Variable - Exercise 14 (A) [Page 165]

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 14 Linear Equations in one Variable
Exercise 14 (A) | Q 12 | Page 165

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