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Formula
Solve the equation
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$y = \dfrac { 8 } { 7 } x - 6$
$y = 4$
$x$Intercept
$\left ( \dfrac { 21 } { 4 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 6 \right )$
$\dfrac{ 8 }{ 7 } x-6 = 4$
$x = \dfrac { 35 } { 4 }$
 Solve a solution to $x$
$\color{#FF6800}{ \dfrac { 8 } { 7 } } \color{#FF6800}{ x } - 6 = 4$
 Calculate the multiplication expression 
$\color{#FF6800}{ \dfrac { 8 x } { 7 } } - 6 = 4$
$\color{#FF6800}{ \dfrac { 8 x } { 7 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } = \color{#FF6800}{ 4 }$
 Multiply both sides by the least common multiple for the denominators to eliminate the fraction 
$\color{#FF6800}{ 8 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 42 } = \color{#FF6800}{ 28 }$
$8 x \color{#FF6800}{ - } \color{#FF6800}{ 42 } = 28$
 Move the constant to the right side and change the sign 
$8 x = 28 \color{#FF6800}{ + } \color{#FF6800}{ 42 }$
$8 x = \color{#FF6800}{ 28 } \color{#FF6800}{ + } \color{#FF6800}{ 42 }$
 Add $28$ and $42$
$8 x = \color{#FF6800}{ 70 }$
$\color{#FF6800}{ 8 } \color{#FF6800}{ x } = \color{#FF6800}{ 70 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { 35 } { 4 } }$
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