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Formula
Solve the equation
Graph
$x - 5 y = 8$
$x$Intercept
$\left ( 8 , 0 \right )$
$y$Intercept
$\left ( 0 , - \dfrac { 8 } { 5 } \right )$
$x-5y = 8$
$x = 5 y + 8$
 Solve a solution to $x$
$x \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ y } = 8$
 Move the rest of the expression except $x$ term to the right side and replace the sign 
$x - 5 y \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ y } \right ) = 8 \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ y } \right )$
$\color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ y } \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ y } \right ) = 8 - \left ( - 5 y \right )$
 Organize the expression 
$\color{#FF6800}{ x } = 8 - \left ( - 5 y \right )$
$x = \color{#FF6800}{ 8 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ y } \right )$
 Organize the expression 
$x = \color{#FF6800}{ 5 } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 8 }$
$y = \dfrac { 1 } { 5 } x - \dfrac { 8 } { 5 }$
 Solve a solution to $y$
$\color{#FF6800}{ x } - 5 y = 8$
 Move the rest of the expression except $y$ term to the right side and replace the sign 
$- 5 y = 8 \color{#FF6800}{ - } \color{#FF6800}{ x }$
$- 5 y = \color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ x }$
 Organize the expression 
$- 5 y = \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 8 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ y } = \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 8 }$
 Change the sign of both sides of the equation 
$5 y = x - 8$
$\color{#FF6800}{ 5 } \color{#FF6800}{ y } = \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 }$
 Divide both sides by the same number 
$\color{#FF6800}{ y } = \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ 5 }$
$y = \left ( x - 8 \right ) \color{#FF6800}{ \div } \color{#FF6800}{ 5 }$
 Convert division to multiplication 
$y = \left ( x - 8 \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } }$
$y = \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } }$
 Multiply each term in parentheses by $\dfrac { 1 } { 5 }$
$y = \color{#FF6800}{ \dfrac { 1 } { 5 } } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } }$
$y = \dfrac { 1 } { 5 } x \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } }$
 Calculate the product of rational numbers 
$y = \dfrac { 1 } { 5 } x \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 8 } { 5 } }$
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