Question

3\2x+1 = 2/x please ans this question​

Answer 1

$\green{\bold{\underline{ ☆ UPSC-ASPIRANT ☆} }}$

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

Q:-3\2x+1 = 2/x

$\huge\tt\underline\blue{ANSWER }$

------>>>>Here is your answer<<<<--------

$⇒ \frac{3}{2x + 1} = \frac{2}{x}$

$⇒3x = 4x + 2$

$⇒3x - 4x = 2$

$⇒ - x = 2$

$⇒x = - 2✓$

HOPE IT HELPS YOU..

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Thankyou:)

Answer 2

$\sf{ \bold { To \: Simplify \: - }} \\ \\ \sf{ \implies { \dfrac{ 3 }{ 2x + 1 } = \dfrac{ 2 }{ x } }} \\ \\ \sf{ \bold { \star Solution \: - }} \\ \\ \sf{ \implies { \dfrac{ 3 }{ 2x + 1 } = \dfrac{ 2 }{ x } }} \\ \\ \sf{ \bold { Cross \: Multiplying \: - }} \\ \\ \sf{ \implies { 2 ( 2x + 1 ) = 3x }} \\ \\ \sf{ \implies { 4x + 2 = 3x }} \\ \\ \sf{ \implies { 4x - 3x = - 2 }} \\ \\ \sf{ \implies { x = - 2 }} \\ \\ \sf{ \bold { \star Verification \: - }} \\ \\ \sf{ \bold { Substituting \: x = - 2 }} \\ \\ \\ \sf{ \implies { \dfrac{ 3 }{ 2x + 1 } = \dfrac{ 2 }{ x } }} \\ \\ \sf{ \implies { LHS \: - }} \\ \\ \sf{ \implies { \dfrac{ 3 }{ 2 \times -2 + 1 } }} \\ \\ \sf{ \implies { -1 }} \\ \\ \sf { \implies { RHS \: - }} \\ \\ \sf{ \implies { \dfrac{ -2 }{ 2 } }} \\ \\ \sf{ \implies { -1 }} \\ \\ \sf { \bold { \therefore LHS = RHS }}$