Solve the following equations and verify your answer - 2-3x - 3-2x - 1-12

2/3x 3/2x = 1/12 (By cross multiplication) 4 9/6x = 1/12⇒ 5/6x = 1/12 ⇒ 6x = 5 × 12 ⇒ x = 5 × 12/6 = 10 ∴ x = 10 Verification : L.H.S. = 2/3x 3/2x = 2 ...

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Standard VIII

Mathematics

Solving Equations with Linear Expressions on One Side and Numbers on the Other Side

Solve the fol...

Question

Solve the following equations and verify your answer :

$\frac{2}{3 x} - \frac{3}{2 x} = \frac{1}{12}$

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Solution

$\frac{2}{3 x} - \frac{3}{2 x} = \frac{1}{12}$
(By cross multiplication)
$\frac{4 - 9}{6 x} = \frac{1}{12} \Rightarrow \frac{- 5}{6 x} = \frac{1}{12} \Rightarrow 6 x = - 5 \times 12 \Rightarrow x = \frac{- 5 \times 12}{6} = - 10 ∴ x = - 10$
Verification :
$L . H . S . = \frac{2}{3 x} - \frac{3}{2 x} = \frac{2}{3 (- 10)} - \frac{3}{2 (- 10)} = \frac{2}{- 30} - \frac{3}{- 20} = \frac{1}{- 15} + \frac{3}{20} = \frac{- 4 + 9}{60} = \frac{5}{60} = \frac{1}{12} = R . H . S .$

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Solve the following equations and verify your answer : 23x−32x=112

23x−32x=112 (By cross multiplication) 4−96x=112⇒−56x=112⇒6x=−5×12⇒x=−5×126=−10∴x=−10 Verification : L.H.S.=23x−32x=23(−10)−32(−10)=2−30−3−20=1−15+320=−4+960=560=112=R.H.S.

Solve the following equations and verify your answer :

$\frac{2}{3 x} - \frac{3}{2 x} = \frac{1}{12}$