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Solve the equation
Answer
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Graph
$y = 3 x - x$
$y = 4 x + 1$
$x$Intercept
$\left ( 0 , 0 \right )$
$y$Intercept
$\left ( 0 , 0 \right )$
$x$Intercept
$\left ( - \dfrac { 1 } { 4 } , 0 \right )$
$y$Intercept
$\left ( 0 , 1 \right )$
$x = - \dfrac { 1 } { 2 }$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ x } = 4 x + 1$
$ $ Calculate between similar terms $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = 4 x + 1$
$2 x = \color{#FF6800}{ 4 } \color{#FF6800}{ x } + 1$
$ $ Move the variable to the left-hand side and change the symbol $ $
$2 x - 4 x = 1$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } = 1$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = 1$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ 1 }$
$ $ Change the sign of both sides of the equation $ $
$2 x = - 1$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } }$
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