Solve: (2x)/3 - (3x)/8 = 7/12 - Mathematics

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Sum

Solve: `(2"x")/3 - (3"x")/8 = 7/12`

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Solution

`(2"x")/3 - (3"x")/8 = 7/12`

L.C.M. of 3 and 8 = 2 × 2 × 2 × 3 = 24

 

`therefore (2"x" xx 8)/(3 xx 8) - ("3x" xx 3)/(8 xx 3) = 7/12`

 

`= "16x"/24 - "9x"/24 = 7/12`

 

`= "16x"/24 - "9x"/24 = 7/12`

 

`= (16"x" - 9"x")/24 = 7/12`

 

`= "7x"/24 = 7/12`

 

`= "x" = (7 xx 24)/(12 xx 7) = 2`

 

∴ x = 2

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 (C) | Q 1.02 | Page 169
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