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Solve the equation
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$y = \dfrac { 5 } { 6 } x + 1$
$y = 0.5 x + \dfrac { 7 } { 6 }$
$x$-intercept
$\left ( - \dfrac { 6 } { 5 } , 0 \right )$
$y$-intercept
$\left ( 0 , 1 \right )$
$x$-intercept
$\left ( - \dfrac { 7 } { 3 } , 0 \right )$
$y$-intercept
$\left ( 0 , \dfrac { 7 } { 6 } \right )$
$\dfrac{ 5 }{ 6 } x+1 = 0.5x+ \dfrac{ 7 }{ 6 }$
$x = \dfrac { 1 } { 2 }$
 Solve a solution to $x$
$\color{#FF6800}{ \dfrac { 5 } { 6 } } \color{#FF6800}{ x } + 1 = 0.5 x + \dfrac { 7 } { 6 }$
 Calculate the multiplication expression 
$\color{#FF6800}{ \dfrac { 5 x } { 6 } } + 1 = 0.5 x + \dfrac { 7 } { 6 }$
$\dfrac { 5 x } { 6 } + 1 = \color{#FF6800}{ 0.5 } \color{#FF6800}{ x } + \dfrac { 7 } { 6 }$
 Calculate the multiplication expression 
$\dfrac { 5 x } { 6 } + 1 = \color{#FF6800}{ \dfrac { x } { 2 } } + \dfrac { 7 } { 6 }$
$\color{#FF6800}{ \dfrac { 5 x } { 6 } } \color{#FF6800}{ + } \color{#FF6800}{ 1 } = \color{#FF6800}{ \dfrac { x } { 2 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 7 } { 6 } }$
 Multiply both sides by the least common multiple for the denominators to eliminate the fraction 
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } = \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 7 }$
$5 x + 6 = \color{#FF6800}{ 3 } \color{#FF6800}{ x } + 7$
 Move the variable to the left-hand side and change the symbol 
$5 x + 6 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = 7$
$5 x \color{#FF6800}{ + } \color{#FF6800}{ 6 } - 3 x = 7$
 Move the constant to the right side and change the sign 
$5 x - 3 x = 7 \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = 7 - 6$
 Organize the expression 
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = 7 - 6$
$2 x = \color{#FF6800}{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
 Subtract $6$ from $7$
$2 x = \color{#FF6800}{ 1 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ 1 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { 1 } { 2 } }$
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