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Solve the equation
Answer
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Graph
$y = 13 - \dfrac { x } { 4 }$
$y = 6$
$x$Intercept
$\left ( 52 , 0 \right )$
$y$Intercept
$\left ( 0 , 13 \right )$
$x = 28$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ 13 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ 4 } } } = \color{#FF6800}{ 6 }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ 52 } \color{#FF6800}{ - } \color{#FF6800}{ x } = \color{#FF6800}{ 24 }$
$\color{#FF6800}{ 52 } - x = 24$
$ $ Move the constant to the right side and change the sign $ $
$- x = 24 \color{#FF6800}{ - } \color{#FF6800}{ 52 }$
$- x = \color{#FF6800}{ 24 } \color{#FF6800}{ - } \color{#FF6800}{ 52 }$
$ $ Subtract $ 52 $ from $ 24$
$- x = \color{#FF6800}{ - } \color{#FF6800}{ 28 }$
$\color{#FF6800}{ - } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 28 }$
$ $ Change the sign of both sides of the equation $ $
$x = 28$
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