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Formula
Solve the equation
Graph
$y = \dfrac { x } { 2 } + \dfrac { x } { 3 } + \dfrac { x } { 6 }$
$y = 6$
$x$Intercept
$\left ( 0 , 0 \right )$
$y$Intercept
$\left ( 0 , 0 \right )$
$\dfrac{ x }{ 2 } + \dfrac{ x }{ 3 } + \dfrac{ x }{ 6 } = 6$
$x = 6$
 Solve a solution to $x$
$\color{#FF6800}{ \dfrac { x } { 2 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { x } { 3 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { x } { 6 } } = 6$
 Write all numerators above the least common denominator 
$\color{#FF6800}{ \dfrac { 3 x + 2 x + x } { 6 } } = 6$
$\dfrac { \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ x } } { 6 } = 6$
 Calculate between similar terms 
$\dfrac { \color{#FF6800}{ 6 } \color{#FF6800}{ x } } { 6 } = 6$
$\color{#FF6800}{ \dfrac { 6 x } { 6 } } = \color{#FF6800}{ 6 }$
 Multiply both sides by the least common multiple for the denominators to eliminate the fraction 
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } = \color{#FF6800}{ 36 }$
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } = \color{#FF6800}{ 36 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ 6 }$
 그래프 보기 
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