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Graph
$y = 0.2 \left ( x - 4 \right )$
$y = 0.15 \left ( x - 3 \right )$
$x$Intercept
$\left ( 4 , 0 \right )$
$y$Intercept
$\left ( 0 , - \dfrac { 4 } { 5 } \right )$
$x$Intercept
$\left ( 3 , 0 \right )$
$y$Intercept
$\left ( 0 , - \dfrac { 9 } { 20 } \right )$
$x = 7$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ 0.2 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) = \color{#FF6800}{ 0.15 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right )$
$ $ Organize the expression $ $
$\color{#FF6800}{ 0.2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 0.2 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) = \color{#FF6800}{ 0.15 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 0.15 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right )$
$\color{#FF6800}{ 0.2 } \color{#FF6800}{ x } + 0.2 \times \left ( - 4 \right ) = 0.15 x + 0.15 \times \left ( - 3 \right )$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ 5 } } } + 0.2 \times \left ( - 4 \right ) = 0.15 x + 0.15 \times \left ( - 3 \right )$
$\dfrac { x } { 5 } + \color{#FF6800}{ 0.2 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) = 0.15 x + 0.15 \times \left ( - 3 \right )$
$ $ Multiply $ 0.2 $ and $ - 4$
$\dfrac { x } { 5 } \color{#FF6800}{ - } \color{#FF6800}{ 0.8 } = 0.15 x + 0.15 \times \left ( - 3 \right )$
$\dfrac { x } { 5 } \color{#FF6800}{ - } \color{#FF6800}{ 0.8 } = 0.15 x + 0.15 \times \left ( - 3 \right )$
$ $ Convert decimals to fractions $ $
$\dfrac { x } { 5 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 4 } } { \color{#FF6800}{ 5 } } } = 0.15 x + 0.15 \times \left ( - 3 \right )$
$\dfrac { x } { 5 } - \dfrac { 4 } { 5 } = \color{#FF6800}{ 0.15 } \color{#FF6800}{ x } + 0.15 \times \left ( - 3 \right )$
$ $ Calculate the multiplication expression $ $
$\dfrac { x } { 5 } - \dfrac { 4 } { 5 } = \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } \color{#FF6800}{ x } } { \color{#FF6800}{ 20 } } } + 0.15 \times \left ( - 3 \right )$
$\dfrac { x } { 5 } - \dfrac { 4 } { 5 } = \dfrac { 3 x } { 20 } + \color{#FF6800}{ 0.15 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right )$
$ $ Multiply $ 0.15 $ and $ - 3$
$\dfrac { x } { 5 } - \dfrac { 4 } { 5 } = \dfrac { 3 x } { 20 } \color{#FF6800}{ - } \color{#FF6800}{ 0.45 }$
$\dfrac { x } { 5 } - \dfrac { 4 } { 5 } = \dfrac { 3 x } { 20 } \color{#FF6800}{ - } \color{#FF6800}{ 0.45 }$
$ $ Convert decimals to fractions $ $
$\dfrac { x } { 5 } - \dfrac { 4 } { 5 } = \dfrac { 3 x } { 20 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 9 } } { \color{#FF6800}{ 20 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ 5 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 4 } } { \color{#FF6800}{ 5 } } } = \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } \color{#FF6800}{ x } } { \color{#FF6800}{ 20 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 9 } } { \color{#FF6800}{ 20 } } }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 16 } = \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 9 }$
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 16 } = \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 9 }$
$ $ Organize the expression $ $
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 9 } \color{#FF6800}{ + } \color{#FF6800}{ 16 }$
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = - 9 + 16$
$ $ Organize the expression $ $
$\color{#FF6800}{ x } = - 9 + 16$
$x = \color{#FF6800}{ - } \color{#FF6800}{ 9 } \color{#FF6800}{ + } \color{#FF6800}{ 16 }$
$ $ Add $ - 9 $ and $ 16$
$x = \color{#FF6800}{ 7 }$
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