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Solve the equation
Answer
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Graph
$y = 0.25 x$
$y = 2 - \dfrac { 2 x + 1 } { 3 }$
$x$Intercept
$\left ( 0 , 0 \right )$
$y$Intercept
$\left ( 0 , 0 \right )$
$x$Intercept
$\left ( \dfrac { 5 } { 2 } , 0 \right )$
$y$Intercept
$\left ( 0 , \dfrac { 5 } { 3 } \right )$
$x = \dfrac { 20 } { 11 }$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ 0.25 } \color{#FF6800}{ x } = 2 - \dfrac { 2 x + 1 } { 3 }$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ 4 } } } = 2 - \dfrac { 2 x + 1 } { 3 }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ 4 } } } = \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } { \color{#FF6800}{ 3 } } }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 20 }$
$3 x = \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x } + 20$
$ $ Move the variable to the left-hand side and change the symbol $ $
$3 x + 8 x = 20$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 8 } \color{#FF6800}{ x } = 20$
$ $ Organize the expression $ $
$\color{#FF6800}{ 11 } \color{#FF6800}{ x } = 20$
$\color{#FF6800}{ 11 } \color{#FF6800}{ x } = \color{#FF6800}{ 20 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { \color{#FF6800}{ 20 } } { \color{#FF6800}{ 11 } } }$
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