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Solve the equation
Answer
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Graph
$x - 2 y + 6 = 0$
$x$Intercept
$\left ( - 6 , 0 \right )$
$y$Intercept
$\left ( 0 , 3 \right )$
$x-2y+6 = 0$
$x = 2 y - 6$
$ $ Solve a solution to $ x$
$x \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 6 } = 0$
$ $ Move the rest of the expression except $ x $ term to the right side and replace the sign $ $
$x - 2 y \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right ) = 0 \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right ) \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right ) = 0 - \left ( - 2 y \right ) - 6$
$ $ Organize the expression $ $
$\color{#FF6800}{ x } = 0 - \left ( - 2 y \right ) - 6$
$x = \color{#FF6800}{ 0 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right ) \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$ $ Organize the expression $ $
$x = \color{#FF6800}{ 2 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$y = \dfrac { 1 } { 2 } x + 3$
$ $ Solve a solution to $ y$
$\color{#FF6800}{ x } - 2 y \color{#FF6800}{ + } \color{#FF6800}{ 6 } = 0$
$ $ Move the rest of the expression except $ y $ term to the right side and replace the sign $ $
$- 2 y = 0 \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$- 2 y = \color{#FF6800}{ 0 } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$ $ Organize the expression $ $
$- 2 y = \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } = \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$ $ Change the sign of both sides of the equation $ $
$2 y = x + 6$
$\color{#FF6800}{ 2 } \color{#FF6800}{ y } = \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ y } = \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ 2 }$
$y = \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ 2 }$
$ $ Convert division to multiplication $ $
$y = \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 2 } }$
$y = \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 2 } }$
$ $ Multiply each term in parentheses by $ \dfrac { 1 } { 2 }$
$y = \color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 2 } }$
$y = \dfrac { 1 } { 2 } x + \color{#FF6800}{ 6 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 2 } }$
$ $ Calculate the product of rational numbers $ $
$y = \dfrac { 1 } { 2 } x + \color{#FF6800}{ 3 }$
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