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Solve the equation
Answer
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Graph
$2 x + y = 7$
$x$Intercept
$\left ( \dfrac { 7 } { 2 } , 0 \right )$
$y$Intercept
$\left ( 0 , 7 \right )$
$2x+y = 7$
$x = - \dfrac { 1 } { 2 } y + \dfrac { 7 } { 2 }$
$ $ Solve a solution to $ x$
$2 x \color{#FF6800}{ + } \color{#FF6800}{ y } = 7$
$ $ Move the rest of the expression except $ x $ term to the right side and replace the sign $ $
$2 x = 7 \color{#FF6800}{ - } \color{#FF6800}{ y }$
$2 x = \color{#FF6800}{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ y }$
$ $ Organize the expression $ $
$2 x = \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 7 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 7 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \left ( \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ 2 }$
$x = \left ( \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ 2 }$
$ $ Convert division to multiplication $ $
$x = \left ( \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 2 } }$
$x = \left ( \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 2 } }$
$ $ Multiply each term in parentheses by $ \dfrac { 1 } { 2 }$
$x = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 2 } }$
$x = - \dfrac { 1 } { 2 } y + \color{#FF6800}{ 7 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 2 } }$
$ $ Calculate the product of rational numbers $ $
$x = - \dfrac { 1 } { 2 } y + \color{#FF6800}{ \dfrac { 7 } { 2 } }$
$y = - 2 x + 7$
$ $ Solve a solution to $ y$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } + y = 7$
$ $ Move the rest of the expression except $ y $ term to the right side and replace the sign $ $
$y = 7 \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \right )$
$y = \color{#FF6800}{ 7 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \right )$
$ $ Organize the expression $ $
$y = \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 7 }$
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