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Formula
Solve the equation
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$y = \dfrac { 2 x - 1 } { 3 }$
$y = 5$
$x$-intercept
$\left ( \dfrac { 1 } { 2 } , 0 \right )$
$y$-intercept
$\left ( 0 , - \dfrac { 1 } { 3 } \right )$
$\dfrac{ 2x-1 }{ 3 } = 5$
$x = 8$
 Solve a solution to $x$
$\color{#FF6800}{ \dfrac { 2 x - 1 } { 3 } } = \color{#FF6800}{ 5 }$
 Multiply both sides by the least common multiple for the denominators to eliminate the fraction 
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } = \color{#FF6800}{ 15 }$
$2 x \color{#FF6800}{ - } \color{#FF6800}{ 1 } = 15$
 Move the constant to the right side and change the sign 
$2 x = 15 \color{#FF6800}{ + } \color{#FF6800}{ 1 }$
$2 x = \color{#FF6800}{ 15 } \color{#FF6800}{ + } \color{#FF6800}{ 1 }$
 Add $15$ and $1$
$2 x = \color{#FF6800}{ 16 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ 16 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ 8 }$
 그래프 보기 
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