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Solve the equation
Answer
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Graph
$y = 2 x + 3$
$y = 5 x + 9$
$x$Intercept
$\left ( - \dfrac { 3 } { 2 } , 0 \right )$
$y$Intercept
$\left ( 0 , 3 \right )$
$x$Intercept
$\left ( - \dfrac { 9 } { 5 } , 0 \right )$
$y$Intercept
$\left ( 0 , 9 \right )$
$x = - 2$
$ $ Solve a solution to $ x$
$2 x + 3 = \color{#FF6800}{ 5 } \color{#FF6800}{ x } + 9$
$ $ Move the variable to the left-hand side and change the symbol $ $
$2 x + 3 \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } = 9$
$2 x \color{#FF6800}{ + } \color{#FF6800}{ 3 } - 5 x = 9$
$ $ Move the constant to the right side and change the sign $ $
$2 x - 5 x = 9 \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } = 9 - 3$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = 9 - 3$
$- 3 x = \color{#FF6800}{ 9 } \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$ $ Subtract $ 3 $ from $ 9$
$- 3 x = \color{#FF6800}{ 6 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ 6 }$
$ $ Change the sign of both sides of the equation $ $
$3 x = - 6$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
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