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Formula
Solve the equation
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$y = \dfrac { x + 11 } { 2 } - \dfrac { 2 x + 3 } { 5 }$
$y = 5$
$x$Intercept
$\left ( - 49 , 0 \right )$
$y$Intercept
$\left ( 0 , \dfrac { 49 } { 10 } \right )$
$\dfrac{ x+11 }{ 2 } - \dfrac{ 2x+3 }{ 5 } = 5$
$x = 1$
 Solve a solution to $x$
$\color{#FF6800}{ \dfrac { x + 11 } { 2 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 x + 3 } { 5 } } = 5$
 Write all numerators above the least common denominator 
$\color{#FF6800}{ \dfrac { 5 x + 55 - 4 x - 6 } { 10 } } = 5$
$\dfrac { \color{#FF6800}{ 5 } \color{#FF6800}{ x } + 55 \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } - 6 } { 10 } = 5$
 Calculate between similar terms 
$\dfrac { \color{#FF6800}{ x } + 55 - 6 } { 10 } = 5$
$\dfrac { x + \color{#FF6800}{ 55 } \color{#FF6800}{ - } \color{#FF6800}{ 6 } } { 10 } = 5$
 Subtract $6$ from $55$
$\dfrac { x + \color{#FF6800}{ 49 } } { 10 } = 5$
$\color{#FF6800}{ \dfrac { x + 49 } { 10 } } = \color{#FF6800}{ 5 }$
 Multiply both sides by the least common multiple for the denominators to eliminate the fraction 
$\color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 49 } = \color{#FF6800}{ 50 }$
$x \color{#FF6800}{ + } \color{#FF6800}{ 49 } = 50$
 Move the constant to the right side and change the sign 
$x = 50 \color{#FF6800}{ - } \color{#FF6800}{ 49 }$
$x = \color{#FF6800}{ 50 } \color{#FF6800}{ - } \color{#FF6800}{ 49 }$
 Subtract $49$ from $50$
$x = \color{#FF6800}{ 1 }$
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