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Solve the equation

Answer

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$y = 2 x + 1$

$y = \dfrac { 1 } { 2 } x + 35$

$x$Intercept

$\left ( - \dfrac { 1 } { 2 } , 0 \right )$

$y$Intercept

$\left ( 0 , 1 \right )$

$x$Intercept

$\left ( - 70 , 0 \right )$

$y$Intercept

$\left ( 0 , 35 \right )$

$x = \dfrac { 68 } { 3 }$

$ $ Solve a solution to $ x$

$2 x + 1 = \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } } \color{#FF6800}{ x } + 35$

$ $ Calculate the multiplication expression $ $

$2 x + 1 = \color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ 2 } } } + 35$

$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } = \color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ 2 } } } \color{#FF6800}{ + } \color{#FF6800}{ 35 }$

$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $

$\color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } = \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 70 }$

$4 x + 2 = \color{#FF6800}{ x } + 70$

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

$4 x + 2 \color{#FF6800}{ - } \color{#FF6800}{ x } = 70$

$4 x \color{#FF6800}{ + } \color{#FF6800}{ 2 } - x = 70$

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

$4 x - x = 70 \color{#FF6800}{ - } \color{#FF6800}{ 2 }$

$\color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ x } = 70 - 2$

$ $ Organize the expression $ $

$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = 70 - 2$

$3 x = \color{#FF6800}{ 70 } \color{#FF6800}{ - } \color{#FF6800}{ 2 }$

$ $ Subtract $ 2 $ from $ 70$

$3 x = \color{#FF6800}{ 68 }$

$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ 68 }$

$ $ Divide both sides by the same number $ $

$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { \color{#FF6800}{ 68 } } { \color{#FF6800}{ 3 } } }$

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