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Formula

Solve the equation

Answer

Graph

$y = 21 x - 3$

$y = 3 x + 6$

$x$Intercept

$\left ( \dfrac { 1 } { 7 } , 0 \right )$

$y$Intercept

$\left ( 0 , - 3 \right )$

$x$Intercept

$\left ( - 2 , 0 \right )$

$y$Intercept

$\left ( 0 , 6 \right )$

$21x-3 = 3x+6$

$x = \dfrac { 1 } { 2 }$

$ $ Solve a solution to $ x$

$21 x - 3 = \color{#FF6800}{ 3 } \color{#FF6800}{ x } + 6$

$ $ Move the variable to the left-hand side and change the symbol $ $

$21 x - 3 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = 6$

$21 x \color{#FF6800}{ - } \color{#FF6800}{ 3 } - 3 x = 6$

$ $ Move the constant to the right side and change the sign $ $

$21 x - 3 x = 6 \color{#FF6800}{ + } \color{#FF6800}{ 3 }$

$\color{#FF6800}{ 21 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = 6 + 3$

$ $ Organize the expression $ $

$\color{#FF6800}{ 18 } \color{#FF6800}{ x } = 6 + 3$

$18 x = \color{#FF6800}{ 6 } \color{#FF6800}{ + } \color{#FF6800}{ 3 }$

$ $ Add $ 6 $ and $ 3$

$18 x = \color{#FF6800}{ 9 }$

$\color{#FF6800}{ 18 } \color{#FF6800}{ x } = \color{#FF6800}{ 9 }$

$ $ Divide both sides by the same number $ $

$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { 1 } { 2 } }$

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