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$2 x + y = 8$
$x$Intercept
$\left ( 4 , 0 \right )$
$y$Intercept
$\left ( 0 , 8 \right )$
$x = - \dfrac { 1 } { 2 } y + 4$
$ $ Solve a solution to $ x$
$2 x \color{#FF6800}{ + } \color{#FF6800}{ y } = 8$
$ $ Move the rest of the expression except $ x $ term to the right side and replace the sign $ $
$2 x = 8 \color{#FF6800}{ - } \color{#FF6800}{ y }$
$2 x = \color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ y }$
$ $ Organize the expression $ $
$2 x = \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 8 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 8 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \left ( \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 8 } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ 2 }$
$x = \left ( \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 8 } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ 2 }$
$ $ Convert division to multiplication $ $
$x = \left ( \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 8 } \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } }$
$x = \left ( \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 8 } \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } }$
$ $ Multiply each term in parentheses by $ \dfrac { 1 } { 2 }$
$x = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } }$
$x = - \dfrac { 1 } { 2 } y + \color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } }$
$ $ Calculate the product of rational numbers $ $
$x = - \dfrac { 1 } { 2 } y + \color{#FF6800}{ 4 }$
$y = - 2 x + 8$
$ $ Solve a solution to $ y$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } + y = 8$
$ $ Move the rest of the expression except $ y $ term to the right side and replace the sign $ $
$y = 8 \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \right )$
$y = \color{#FF6800}{ 8 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \right )$
$ $ Organize the expression $ $
$y = \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 8 }$
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