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Formula
Solve the equation
Graph
$y = x - \dfrac { 1 } { 4 }$
$y = 2 \dfrac { 1 } { 2 }$
$x$Intercept
$\left ( \dfrac { 1 } { 4 } , 0 \right )$
$y$Intercept
$\left ( 0 , - \dfrac { 1 } { 4 } \right )$
$x- \dfrac{ 1 }{ 4 } = 2 \dfrac{ 1 }{ 2 }$
$x = \dfrac { 11 } { 4 }$
 Solve a solution to $x$
$x - \dfrac { 1 } { 4 } = \color{#FF6800}{ 2 \dfrac { 1 } { 2 } }$
 Convert mixed number into improper fraction 
$x - \dfrac { 1 } { 4 } = \color{#FF6800}{ \dfrac { 5 } { 2 } }$
$x \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 4 } } = \dfrac { 5 } { 2 }$
 Move the constant to the right side and change the sign 
$x = \color{#FF6800}{ \dfrac { 5 } { 2 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { 4 } }$
$x = \color{#FF6800}{ \dfrac { 5 } { 2 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { 4 } }$
 Find the sum of the fractions 
$x = \color{#FF6800}{ \dfrac { 11 } { 4 } }$
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