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Formula
Solve the equation
Answer
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Graph
$y = \dfrac { x } { 8 } - \dfrac { 1 } { 4 }$
$y = \dfrac { 1 } { 2 }$
$x$Intercept
$\left ( 2 , 0 \right )$
$y$Intercept
$\left ( 0 , - \dfrac { 1 } { 4 } \right )$
$\dfrac{ x }{ 8 } - \dfrac{ 1 }{ 4 } = \dfrac{ 1 }{ 2 }$
$x = 6$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ \dfrac { x } { 8 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 4 } } = \color{#FF6800}{ \dfrac { 1 } { 2 } }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } = \color{#FF6800}{ 4 }$
$x \color{#FF6800}{ - } \color{#FF6800}{ 2 } = 4$
$ $ Move the constant to the right side and change the sign $ $
$x = 4 \color{#FF6800}{ + } \color{#FF6800}{ 2 }$
$x = \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 2 }$
$ $ Add $ 4 $ and $ 2$
$x = \color{#FF6800}{ 6 }$
$x = 6$
Solve the fractional equation
$\color{#FF6800}{ \dfrac { x } { 8 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 4 } } = \color{#FF6800}{ \dfrac { 1 } { 2 } }$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ x } = \color{#FF6800}{ 6 }$
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