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Formula
Solve the equation
Graph
$y = x - \dfrac { 7 } { 3 }$
$y = 0.1 \dot{ 3 }$
$x$Intercept
$\left ( \dfrac { 7 } { 3 } , 0 \right )$
$y$Intercept
$\left ( 0 , - \dfrac { 7 } { 3 } \right )$
$x- \dfrac{ 7 }{ 3 } = 0.1 \dot{ 3 }$
$x = \dfrac { 37 } { 15 }$
 Solve a solution to $x$
$x - \dfrac { 7 } { 3 } = \color{#FF6800}{ 0.1 \dot{ 3 } }$
 Convert the repeating decimal number to a fraction 
$x - \dfrac { 7 } { 3 } = \color{#FF6800}{ \dfrac { 2 } { 15 } }$
$x \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 7 } { 3 } } = \dfrac { 2 } { 15 }$
 Move the constant to the right side and change the sign 
$x = \color{#FF6800}{ \dfrac { 2 } { 15 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 7 } { 3 } }$
$x = \color{#FF6800}{ \dfrac { 2 } { 15 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 7 } { 3 } }$
 Find the sum of the fractions 
$x = \color{#FF6800}{ \dfrac { 37 } { 15 } }$
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