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Solve the equation
Answer
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Graph
$y = \dfrac { x } { 2 } - \dfrac { x } { 3 }$
$y = 10$
$x$Intercept
$\left ( 0 , 0 \right )$
$y$Intercept
$\left ( 0 , 0 \right )$
$x = 60$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ 2 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ 3 } } } = 10$
$ $ Write all numerators above the least common denominator $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } } { \color{#FF6800}{ 6 } } } = 10$
$\dfrac { \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } } { 6 } = 10$
$ $ Calculate between similar terms $ $
$\dfrac { \color{#FF6800}{ x } } { 6 } = 10$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ 6 } } } = \color{#FF6800}{ 10 }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ 60 }$
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