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Solve the following: 0.2x+53.5x-3=25 - Mathematics

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Question

Solve the following:

`(0.2x + 5)/(3.5x - 3) = 2/5`

Sum

Solution

Given, `(0.2x + 5)/(3.5x - 3) = 2/5`

⇒ 5(0.2x + 5) = 2(3.5x – 3)  ...[By cross-multiplication]

⇒ x + 25 = 7x – 6

⇒ x – 7x = – 6 – 25   ...[Transposing 7x to LHS and 25 to RHS]

⇒ – 6x = – 31

⇒ `(-6x)/(-6) = (-31)/(-6)`   ...[Dividing both sides by – 6]

∴ `x = 31/6`

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Chapter 4: Linear Equation In One Variable - Exercise [Page 116]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 4 Linear Equation In One Variable
Exercise | Q 54. | Page 116

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