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Solve the equation
Answer
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Graph
$y = \dfrac { x } { 4 } - 1$
$y = \dfrac { x } { 3 } + 1$
$x$Intercept
$\left ( 4 , 0 \right )$
$y$Intercept
$\left ( 0 , - 1 \right )$
$x$Intercept
$\left ( - 3 , 0 \right )$
$y$Intercept
$\left ( 0 , 1 \right )$
$x = - 24$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ 4 } } } \color{#FF6800}{ - } \color{#FF6800}{ 1 } = \color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ 3 } } } \color{#FF6800}{ + } \color{#FF6800}{ 1 }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 12 } = \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 12 }$
$3 x - 12 = \color{#FF6800}{ 4 } \color{#FF6800}{ x } + 12$
$ $ Move the variable to the left-hand side and change the symbol $ $
$3 x - 12 \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } = 12$
$3 x \color{#FF6800}{ - } \color{#FF6800}{ 12 } - 4 x = 12$
$ $ Move the constant to the right side and change the sign $ $
$3 x - 4 x = 12 \color{#FF6800}{ + } \color{#FF6800}{ 12 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } = 12 + 12$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ x } = 12 + 12$
$- x = \color{#FF6800}{ 12 } \color{#FF6800}{ + } \color{#FF6800}{ 12 }$
$ $ Add $ 12 $ and $ 12$
$- x = \color{#FF6800}{ 24 }$
$\color{#FF6800}{ - } \color{#FF6800}{ x } = \color{#FF6800}{ 24 }$
$ $ Change the sign of both sides of the equation $ $
$x = - 24$
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