# Solve the Following Equation and Also Check Your Result : 2 3 X − 3 2 X = 1 12 - Mathematics

Sum

Solve the following equation and also check your result:
$\frac{2}{3x} - \frac{3}{2x} = \frac{1}{12}$

#### Solution

$\frac{2}{3x} - \frac{3}{2x} = \frac{1}{12}$
$\text{ or }\frac{4 - 9}{6x} = \frac{1}{12}$
$\text{ or }\frac{- 5}{6x} = \frac{1}{12}$
$\text{ or }6x = - 60$
$\text{ or }x = \frac{- 60}{6}$
$\text{ or }x = - 10$
$\text{ Thus, }x = - 10\text{ is the solution of the given equation . }$
$\text{ Check: }$
$\text{ ubstituting }x = - 10\text{ in the given equation, we get: }$
$\text{ L . H . S .}= \frac{2}{3 \times ( - 10)} - \frac{3}{2 \times ( - 10)} = \frac{2}{- 30} - \frac{3}{- 20} = \frac{- 4 + 9}{60} = \frac{5}{60} = \frac{1}{12}$
$\text{ R . H . S . }= \frac{1}{12}$
$\therefore \text{ L . H . S . = R . H . S . for } x = - 10 .$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 9 Linear Equation in One Variable
Exercise 9.2 | Q 17 | Page 11