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Solve the equation
Answer
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$y = \dfrac { 2 x + 1 } { 4 }$
$y = \dfrac { x - 3 } { 3 }$
$x$Intercept
$\left ( - \dfrac { 1 } { 2 } , 0 \right )$
$y$Intercept
$\left ( 0 , \dfrac { 1 } { 4 } \right )$
$x$Intercept
$\left ( 3 , 0 \right )$
$y$Intercept
$\left ( 0 , - 1 \right )$
$\dfrac{ 2x+1 }{ 4 } = \dfrac{ x-3 }{ 3 }$
$x = - \dfrac { 15 } { 2 }$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ \dfrac { 2 x + 1 } { 4 } } = \color{#FF6800}{ \dfrac { x - 3 } { 3 } }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ 3 } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) = \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 12 }$
$\color{#FF6800}{ 3 } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) = 4 x - 12$
$ $ Multiply each term in parentheses by $ 3$
$\color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } = 4 x - 12$
$\color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } \color{#FF6800}{ x } + 3 = 4 x - 12$
$ $ Simplify the expression $ $
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } + 3 = 4 x - 12$
$6 x + 3 = \color{#FF6800}{ 4 } \color{#FF6800}{ x } - 12$
$ $ Move the variable to the left-hand side and change the symbol $ $
$6 x + 3 \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } = - 12$
$6 x \color{#FF6800}{ + } \color{#FF6800}{ 3 } - 4 x = - 12$
$ $ Move the constant to the right side and change the sign $ $
$6 x - 4 x = - 12 \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } = - 12 - 3$
$ $ Organize the expression $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = - 12 - 3$
$2 x = \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$ $ Find the sum of the negative numbers $ $
$2 x = \color{#FF6800}{ - } \color{#FF6800}{ 15 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 15 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 15 } { 2 } }$
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