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Formula
Solve the equation
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$y = x + 1$
$y = 18 x - 10$
$x$Intercept
$\left ( - 1 , 0 \right )$
$y$Intercept
$\left ( 0 , 1 \right )$
$x$Intercept
$\left ( \dfrac { 5 } { 9 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 10 \right )$
$x+1 = 18x-10$
$x = \dfrac { 11 } { 17 }$
 Solve a solution to $x$
$x + 1 = \color{#FF6800}{ 18 } \color{#FF6800}{ x } - 10$
 Move the variable to the left-hand side and change the symbol 
$x + 1 \color{#FF6800}{ - } \color{#FF6800}{ 18 } \color{#FF6800}{ x } = - 10$
$x \color{#FF6800}{ + } \color{#FF6800}{ 1 } - 18 x = - 10$
 Move the constant to the right side and change the sign 
$x - 18 x = - 10 \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
$\color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 18 } \color{#FF6800}{ x } = - 10 - 1$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ 17 } \color{#FF6800}{ x } = - 10 - 1$
$- 17 x = \color{#FF6800}{ - } \color{#FF6800}{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
 Find the sum of the negative numbers 
$- 17 x = \color{#FF6800}{ - } \color{#FF6800}{ 11 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 17 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 11 }$
 Change the sign of both sides of the equation 
$17 x = 11$
$\color{#FF6800}{ 17 } \color{#FF6800}{ x } = \color{#FF6800}{ 11 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { 11 } { 17 } }$
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