Question

if 1 by 3 -x=-2 by 3 then x is

Answer 1

Answer -

• The value of x = 1.

To find -

• The value of x.

Step-by-step explanation -

$\implies\sf \dfrac{1}{3} - x = \dfrac{ - 2}{ \: \: \: 3}$

$\implies\sf - x = \dfrac{ - 2}{ \: \: \: 3} - \dfrac{1}{3}$

$\implies\sf - x = \dfrac{ (- 2) - 1}{3}$

$\implies \sf- x = \dfrac{ - 3}{ \: \: \: 3}$

$\sf \implies\cancel{- }x = \cancel{-} 1$

$\implies\sf x = 1$

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V E R I F I C A T I O N -

• To check our answer, let's substitute the value of "x" in the equation and see whether LHS = RHS.

LHS :

$\leadsto \rm\dfrac{1}{3} -x$

$\leadsto \dfrac{1}{3 } - 1$

$\leadsto \dfrac{(1 \times 1) - (1 \times 3)}{3}$

$\leadsto \dfrac{1 - 3}{3}$

$\leadsto \dfrac{ - 2}{ \: \: \: 3}$

RHS :

$\leadsto \dfrac{ - 2}{ \: \: \: 3}$

LHS = RHS

Hence verified!!

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Answer 2

Question :-if 1 by 3 -x=-2 by 3 then x isSolution :-$\sf:\longmapsto{ \frac{1}{3} - x = \frac{ - 2}{3}} \\ \\ \sf:\longmapsto{x = \frac{1}{3} + \frac{2}{3} } \: \: \\ \\ \sf:\longmapsto{x = \frac{1 + 2}{3} } \: \: \: \\ \\ \sf:\longmapsto{}x = \frac{3}{3} \: \: \: \: \: \: \: \: \: \\ \\ \sf:\longmapsto{}x = 3 \: \: \: \: \: \: \: \: \:</p><p></p><p>$Verification :-$\sf:\longmapsto{ \frac{1}{3} } -x = \frac{ - 2}{3} \\ \\ \sf:\longmapsto{} \frac{1 - 3}{3} = \frac{ - 2}{3} \\ \\ \bf:\longmapsto \red{{} \frac{ - 2}{3} = \frac{ - 2}{3} } \:$