Question

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Answer 1

$\sf{ \Longrightarrow\dfrac{3x + 4}{2x - 3} = \dfrac{1}{2} }$

Step by step explanation

$\sf{ \Longrightarrow\dfrac{3x + 4}{2x - 3} = \dfrac{1}{2} }$

$\sf{ \Longrightarrow \: 2(3x + 4) = 1( {2x - 3})}$

$\sf{ \Longrightarrow \: 6x + 8 = 2x - 3}$

$\sf{ \Longrightarrow \: 6x - 2x = - 3 - 8}$

$\sf{ \Longrightarrow \: 4x = - 11}$

$\sf{ \Longrightarrow \: x = \frac{ - 11}{ \: \: 4} }$

Answer 2

$step \: by \: step \: explanation \\ \frac{3x + 4}{2x - 3} = \frac{1}{2} \\ = 2(3x + 4) = 1(2x - 3) \\ = 6x + 8 = 2x - 3 \\ = 6x - 2x = - 3 - 8 \\ = 4x = 11 \\ x = \frac{-11}{4} = -2.75 \\ you \: can \: write \: the \: answer \: both \: as \: \frac{-11}{4} \: or \: -2.75$