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Judge the identity
Answer
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$\begin{cases} \dfrac { 1 } { a } = 1 \\ b = 0 \end{cases}$
Compare coefficients to find unknowns
$x = \color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ a } } } \color{#FF6800}{ + } \color{#FF6800}{ b }$
$ $ Organize the expression $ $
$x = \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ a } } }$
$\color{#FF6800}{ x } = \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ a } } }$
$ $ Compare the coefficients to form a system of equations $ $
$\begin{cases} \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ a } } } = \color{#FF6800}{ 1 } \\ \color{#FF6800}{ b } = \color{#FF6800}{ 0 } \end{cases}$
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