Question

Q:-solve and verify the equation
$\frac{1}{3} x - 4 = x - ( \frac{1}{2} + \frac{x}{ 3} )$
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Answer 1

$\huge{\bold☘}\mathfrak\pink{\bold{\underline{{ ℘ɧεŋσɱεŋศɭ}}}}{\bold☘}$

$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-solve and verify the equation

$\frac{1}{3} x - 4 = x - ( \frac{1}{2} + \frac{x}{ 3} )$

${\huge{\fcolorbox{aqua}{navy}{\fcolorbox{yellow}{blue}{\bf{\color{yellow}{Answer}}}}}}$

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$⟹\bold{</p><p> \frac{1}{3} x - 4 = x - ( \frac{1}{2} + \frac{x}{3} )}$

$⟹\bold{</p><p> \frac{x}{3} - 4 = x - ( \frac{3 + 2x}{6} )}$

$⟹\bold{</p><p> \frac{x - 12}{3} = x - ( \frac{2x + 3}{6} )}$

$⟹\bold{</p><p> \frac{x - 12}{3} = x - \frac{2x - 3}{6} }$

$⟹\bold{</p><p> \frac{x - 12}{3} = \frac{6x - 2x - 3}{6}}$

$⟹\bold{</p><p> \frac{x - 12}{3} = \frac{4x - 3}{6}}$

$\bold{\red{cancelling 6( R.H.S) By 3 From L.H.S}}$

$⟹ \bold{\frac{x - 12}{1} = \frac{4x - 3}{2} }</p><p>$

$⟹\bold{</p><p>2(x - 12) = 4x - 3}$

$⟹\bold{</p><p>2x - 24 = 4x - 3}$

$⟹\bold{</p><p> - 24 + 3 = 4x - 2x}$

$⟹\bold{</p><p> - 21 = 2x}$

$⟹\bold{</p><p>x = - \frac{21}{2} }$

$\bold{\red{CHECK:-}}$

$⟹ \bold{\frac{ - \frac{21}{2} }{3} - 4 = - \frac{21}{2} - ( \frac{1}{2} + ( - ) \frac{ \frac{21}{2} }{3} )}</p><p>$

$⟹\bold{</p><p> - \frac{21}{6} - 4 = - \frac{21}{2} - ( \frac{1}{2} - \frac{21}{6} )}$

$⟹\bold{</p><p> - \frac{7}{2} - 4 = - \frac{21}{2} - ( \frac{1}{2} - \frac{7}{2} )}$

$⟹\bold{</p><p> \frac{ - 7 - 8}{2} = - \frac{21}{2} - ( - \frac{6}{2} )}$

$⟹ \bold{- \frac{15}{2} = - \frac{21}{2} - ( - 3) }</p><p>$

$⟹\bold{</p><p> - \frac{15}{2} = - \frac{21}{2} + 3}$

$⟹\bold{</p><p> - \frac{15}{2} = \frac{ - 21 + 6}{2} = - \frac{15}{2}}$

THEREFORE,L.H.S=R.H.S

VERIFIED✔️

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HOPE IT HELPS YOU..

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