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Formula
Judge the identity
Answer
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$-2x+5 = ax-b$
$\begin{cases} a = - 2 \\ b = - 5 \end{cases}$
Compare coefficients to find unknowns
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 5 } = a x - b$
$ $ Organize the expression $ $
$\color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = a x - b$
$\color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ a } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ b }$
$ $ Compare the coefficients to form a system of equations $ $
$\begin{cases} \color{#FF6800}{ a } = \color{#FF6800}{ - } \color{#FF6800}{ 2 } \\ \color{#FF6800}{ - } \color{#FF6800}{ b } = \color{#FF6800}{ 5 } \end{cases}$
$\begin{cases} a = - 2 \\ \color{#FF6800}{ - } \color{#FF6800}{ b } = \color{#FF6800}{ 5 } \end{cases}$
$ $ Solve a solution to $ b$
$\begin{cases} a = - 2 \\ \color{#FF6800}{ b } = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \end{cases}$
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