# Solve: "2x"/3 - ("X" - 1)/6 + ("7x" - 1)/4 = 2 1/6 Hence, Find the Value of 'A', If 1/"A" + 5"X" = 8 - Mathematics

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Solve: "2x"/3 - ("x" - 1)/6 + ("7x" - 1)/4 = 2 1/6 Hence, find the value of 'a', if 1/"a" + 5"x" = 8

#### Solution

"2x"/3 - ("x" - 1)/6 + ("7x" - 1)/4 = 2 1/6

=> "2x"/3 - ("x" - 1)/6 + ("7x" - 1)/4 = 13/6

("8x" - "2x" + 2 + "21x" - 3 = 26)/12  ...(L.C.M. of 3, 6, 4, 6 = 12)

⇒ 27x - 1 = 26

⇒ 27x = 26 + 1

⇒ x = 27/27 = 1

Now, 1/"a" + 5"x" = 8

=> 1/"a" + 5 xx 1 = 8

=> 1/"a" + 5 = 8

=> 1/"a" = 8 - 5 = 3

∵ 3a = 1

=> "a" = 1/3

∴ x = 1 and a = 1/3

Concept: Solving Linear Inequations
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 14 Linear Equations in one Variable
Exercise 14 (A) | Q 24 | Page 166