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Formula
Solve the equation
Answer
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Graph
$y = \dfrac { x } { 2 }$
$y = - 3$
$x$Intercept
$\left ( 0 , 0 \right )$
$y$Intercept
$\left ( 0 , 0 \right )$
$\dfrac{ x }{ 2 } = -3$
$x = - 6$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ \dfrac { x } { 2 } } = \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$x = - 6$
Solve the fractional equation
$\color{#FF6800}{ \dfrac { x } { 2 } } = \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$ $ If $ \frac{a(x)}{b(x)} = c(x) $ is valid, it is $ \begin{cases} a(x) = b(x) c(x) \\ b(x) \ne 0 \end{cases}$
$\begin{cases} \color{#FF6800}{ x } = \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \\ \color{#FF6800}{ 2 } \neq \color{#FF6800}{ 0 } \end{cases}$
$\begin{cases} \color{#FF6800}{ x } = \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \\ \color{#FF6800}{ 2 } \neq \color{#FF6800}{ 0 } \end{cases}$
$ $ Simplify the expression $ $
$\begin{cases} \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 6 } \\ \color{#FF6800}{ 2 } \neq \color{#FF6800}{ 0 } \end{cases}$
$\begin{cases} x = - 6 \\ \color{#FF6800}{ 2 } \neq \color{#FF6800}{ 0 } \end{cases}$
$ $ There are infinitely many solutions if both sides of $ \ne $ are different. $ $
$\begin{cases} x = - 6 \\ \text{해가 무수히 많습니다} \end{cases}$
$\begin{cases} \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 6 } \\ \text{해가 무수히 많습니다} \end{cases}$
$ $ Ignore the cases where the system of equations where there are infinitely many solutions. $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
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