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Formula
Solve the equation
Graph
$5 x - y = 9$
$x$Intercept
$\left ( \dfrac { 9 } { 5 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 9 \right )$
$5x-y = 9$
$x = \dfrac { 1 } { 5 } y + \dfrac { 9 } { 5 }$
 Solve a solution to $x$
$5 x \color{#FF6800}{ - } \color{#FF6800}{ y } = 9$
 Move the rest of the expression except $x$ term to the right side and replace the sign 
$5 x = 9 \color{#FF6800}{ + } \color{#FF6800}{ y }$
$5 x = \color{#FF6800}{ 9 } \color{#FF6800}{ + } \color{#FF6800}{ y }$
 Organize the expression 
$5 x = \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 9 }$
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } = \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 9 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \left ( \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ 5 }$
$x = \left ( y + 9 \right ) \color{#FF6800}{ \div } \color{#FF6800}{ 5 }$
 Convert division to multiplication 
$x = \left ( y + 9 \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } }$
$x = \left ( \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } }$
 Multiply each term in parentheses by $\dfrac { 1 } { 5 }$
$x = \color{#FF6800}{ \dfrac { 1 } { 5 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } }$
$x = \dfrac { 1 } { 5 } y + \color{#FF6800}{ 9 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } }$
 Calculate the product of rational numbers 
$x = \dfrac { 1 } { 5 } y + \color{#FF6800}{ \dfrac { 9 } { 5 } }$
$y = 5 x - 9$
 Solve a solution to $y$
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } - y = 9$
 Move the rest of the expression except $y$ term to the right side and replace the sign 
$- y = 9 \color{#FF6800}{ - } \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ x } \right )$
$- y = \color{#FF6800}{ 9 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ x } \right )$
 Organize the expression 
$- y = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 9 }$
$\color{#FF6800}{ - } \color{#FF6800}{ y } = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 9 }$
 Change the sign of both sides of the equation 
$y = 5 x - 9$
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