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Formula
Solve the equation
Answer
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Graph
$y = 2 - 6 x$
$y = 14$
$x$Intercept
$\left ( \dfrac { 1 } { 3 } , 0 \right )$
$y$Intercept
$\left ( 0 , 2 \right )$
$2-6x = 14$
$x = - 2$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } = 14$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } = 14$
$- 6 x \color{#FF6800}{ + } \color{#FF6800}{ 2 } = 14$
$ $ Move the constant to the right side and change the sign $ $
$- 6 x = 14 \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$- 6 x = \color{#FF6800}{ 14 } \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$ $ Subtract $ 2 $ from $ 14$
$- 6 x = \color{#FF6800}{ 12 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } = \color{#FF6800}{ 12 }$
$ $ Change the sign of both sides of the equation $ $
$6 x = - 12$
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 12 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
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