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Formula
Solve the equation
Answer
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Graph
$y = \dfrac { 1 } { 2 } x + \dfrac { 1 } { 3 }$
$y = - \dfrac { 1 } { 6 }$
$x$Intercept
$\left ( - \dfrac { 2 } { 3 } , 0 \right )$
$y$Intercept
$\left ( 0 , \dfrac { 1 } { 3 } \right )$
$\dfrac{ 1 }{ 2 } x+ \dfrac{ 1 }{ 3 } = - \dfrac{ 1 }{ 6 }$
$x = - 1$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ x } + \dfrac { 1 } { 3 } = - \dfrac { 1 } { 6 }$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ \dfrac { x } { 2 } } + \dfrac { 1 } { 3 } = - \dfrac { 1 } { 6 }$
$\color{#FF6800}{ \dfrac { x } { 2 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { 3 } } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 6 } }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 2 } { 3 } } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 3 } }$
$x \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 2 } { 3 } } = - \dfrac { 1 } { 3 }$
$ $ Move the constant to the right side and change the sign $ $
$x = - \dfrac { 1 } { 3 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 } { 3 } }$
$x = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 3 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 } { 3 } }$
$ $ Find the sum or difference of the fractions $ $
$x = \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
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