# Solve the Following Equation and Also Check Your Result : 0 . 5 ( X − 0 . 4 ) 0 . 35 − 0 . 6 ( X − 2 . 71 ) 0 . 42 = X + 6 . 1 - Mathematics

Sum

Solve the following equation and also check your result:

$\frac{0 . 5(x - 0 . 4)}{0 . 35} - \frac{0 . 6(x - 2 . 71)}{0 . 42} = x + 6 . 1$

#### Solution

$\frac{0 . 5(x - 0 . 4)}{0 . 35} - \frac{0 . 6(x - 2 . 71)}{0 . 42} = x + 6 . 1$
$\text{ or }\frac{(x - 0 . 4)}{0 . 7} - \frac{(x - 2 . 71)}{0 . 7} = x + 6 . 1$
$\text{ or }\frac{x - 0 . 4 - x + 2 . 71}{0 . 7} = x + 6 . 1$
$\text{ or }- 0 . 4 + 2 . 71 = 0 . 7x + 4 . 27$
$\text{ or }0 . 7x = 2 . 71 - 0 . 4 - 4 . 27$
$\text{ or }x = \frac{- 1 . 96}{0 . 7} = - 2 . 8$
$\text{ Thus, }x = - 2 . 8\text{ is the solution of the given equation . }$
$\text{ Check: }$
$\text{ Substituting }x = - 2 . 8\text{ in the given equation, we get: }$
$\text{ L . H . S . }= \frac{0 . 5( - 2 . 8 - 0 . 4)}{0 . 35} - \frac{0 . 6( - 2 . 8 - 2 . 71)}{0 . 42} = \frac{- 1 . 6}{0 . 35} + \frac{3.306}{0 . 42} = - 4 . 571 + 7 . 871 = 3 . 3$
$\text{ R . H . S .} = - 2 . 8 + 6 . 1 = - 3 . 3$
$\therefore \text{ L . H . S . = R . H . S . for } x = - 2 . 8$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 9 Linear Equation in One Variable
Exercise 9.2 | Q 22 | Page 12