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Solve the equation
Answer
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Graph
$y = \dfrac { x } { 2 } + 1$
$y = \dfrac { x - 1 } { 5 }$
$x$Intercept
$\left ( - 2 , 0 \right )$
$y$Intercept
$\left ( 0 , 1 \right )$
$x$Intercept
$\left ( 1 , 0 \right )$
$y$Intercept
$\left ( 0 , - \dfrac { 1 } { 5 } \right )$
$\dfrac{ x }{ 2 } +1 = \dfrac{ x-1 }{ 5 }$
$x = - 4$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ \dfrac { x } { 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 1 } = \color{#FF6800}{ \dfrac { x - 1 } { 5 } }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 10 } = \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$5 x + 10 = \color{#FF6800}{ 2 } \color{#FF6800}{ x } - 2$
$ $ Move the variable to the left-hand side and change the symbol $ $
$5 x + 10 \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = - 2$
$5 x \color{#FF6800}{ + } \color{#FF6800}{ 10 } - 2 x = - 2$
$ $ Move the constant to the right side and change the sign $ $
$5 x - 2 x = - 2 \color{#FF6800}{ - } \color{#FF6800}{ 10 }$
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = - 2 - 10$
$ $ Organize the expression $ $
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = - 2 - 10$
$3 x = \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 10 }$
$ $ Find the sum of the negative numbers $ $
$3 x = \color{#FF6800}{ - } \color{#FF6800}{ 12 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 12 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
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