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Solve the equation
Answer
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Graph
$y = \dfrac { 6 } { 7 } x$
$y = - \dfrac { 4 } { 5 }$
$x$Intercept
$\left ( 0 , 0 \right )$
$y$Intercept
$\left ( 0 , 0 \right )$
$x = - \dfrac { 14 } { 15 }$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 6 } } { \color{#FF6800}{ 7 } } } \color{#FF6800}{ x } = - \dfrac { 4 } { 5 }$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 6 } \color{#FF6800}{ x } } { \color{#FF6800}{ 7 } } } = - \dfrac { 4 } { 5 }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 6 } \color{#FF6800}{ x } } { \color{#FF6800}{ 7 } } } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 4 } } { \color{#FF6800}{ 5 } } }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 28 } } { \color{#FF6800}{ 5 } } }$
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 28 } } { \color{#FF6800}{ 5 } } }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 14 } } { \color{#FF6800}{ 15 } } }$
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