$\color{#FF6800}{ x } \color{#FF6800}{ \div } \color{#FF6800}{ y } = \color{#FF6800}{ \dfrac { y } { x } }$
$ $ Reverse the left and right terms of the equation (or inequality) $ $
$\color{#FF6800}{ \dfrac { y } { x } } = \color{#FF6800}{ x } \color{#FF6800}{ \div } \color{#FF6800}{ y }$
$\color{#FF6800}{ \dfrac { y } { x } } = \color{#FF6800}{ x } \color{#FF6800}{ \div } \color{#FF6800}{ y }$
$ $ 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}$
$\begin{cases} \color{#FF6800}{ y } = \color{#FF6800}{ x } \left ( \color{#FF6800}{ x } \color{#FF6800}{ \div } \color{#FF6800}{ y } \right ) \\ \color{#FF6800}{ x } \neq \color{#FF6800}{ 0 } \end{cases}$
$\begin{cases} \color{#FF6800}{ y } = \color{#FF6800}{ x } \left ( \color{#FF6800}{ x } \color{#FF6800}{ \div } \color{#FF6800}{ y } \right ) \\ \color{#FF6800}{ x } \neq \color{#FF6800}{ 0 } \end{cases}$
$ $ Simplify the expression $ $
$\begin{cases} \color{#FF6800}{ y } = \color{#FF6800}{ \dfrac { x ^ { 2 } } { y } } \\ \color{#FF6800}{ x } \neq \color{#FF6800}{ 0 } \end{cases}$
$\begin{cases} \color{#FF6800}{ y } = \color{#FF6800}{ \dfrac { x ^ { 2 } } { y } } \\ x \neq 0 \end{cases}$
$ $ Reverse the left and right terms of the equation (or inequality) $ $
$\begin{cases} \color{#FF6800}{ \dfrac { x ^ { 2 } } { y } } = \color{#FF6800}{ y } \\ x \neq 0 \end{cases}$
$\begin{cases} \color{#FF6800}{ \dfrac { x ^ { 2 } } { y } } = \color{#FF6800}{ y } \\ x \neq 0 \end{cases}$
$ $ 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}$
$\begin{cases} \begin{cases} \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } = \color{#FF6800}{ y } \color{#FF6800}{ y } \\ \color{#FF6800}{ y } \neq \color{#FF6800}{ 0 } \end{cases} \\ x \neq 0 \end{cases}$
$\begin{cases} \begin{cases} \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } = \color{#FF6800}{ y } \color{#FF6800}{ y } \\ \color{#FF6800}{ y } \neq \color{#FF6800}{ 0 } \end{cases} \\ \color{#FF6800}{ x } \neq \color{#FF6800}{ 0 } \end{cases}$
$ $ If there is a system of equations (inequality) in the system of equations (inequality), take it out. $ $
$\begin{cases} \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } = \color{#FF6800}{ y } \color{#FF6800}{ y } \\ \color{#FF6800}{ y } \neq \color{#FF6800}{ 0 } \\ \color{#FF6800}{ x } \neq \color{#FF6800}{ 0 } \end{cases}$
$\begin{cases} \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } = \color{#FF6800}{ y } \color{#FF6800}{ y } \\ \color{#FF6800}{ y } \neq \color{#FF6800}{ 0 } \\ \color{#FF6800}{ x } \neq \color{#FF6800}{ 0 } \end{cases}$
$ $ Simplify the expression $ $
$\begin{cases} \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } = \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \\ \color{#FF6800}{ y } \neq \color{#FF6800}{ 0 } \\ \color{#FF6800}{ x } \neq \color{#FF6800}{ 0 } \end{cases}$