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Formula

Solve the equation

Answer

Graph

$y = - 4 x + 5$

$y = x + 15$

$x$Intercept

$\left ( \dfrac { 5 } { 4 } , 0 \right )$

$y$Intercept

$\left ( 0 , 5 \right )$

$x$Intercept

$\left ( - 15 , 0 \right )$

$y$Intercept

$\left ( 0 , 15 \right )$

$-4x+5 = x+15$

$x = - 2$

$ $ Solve a solution to $ x$

$- 4 x + 5 = \color{#FF6800}{ x } + 15$

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

$- 4 x + 5 \color{#FF6800}{ - } \color{#FF6800}{ x } = 15$

$- 4 x \color{#FF6800}{ + } \color{#FF6800}{ 5 } - x = 15$

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

$- 4 x - x = 15 \color{#FF6800}{ - } \color{#FF6800}{ 5 }$

$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ x } = 15 - 5$

$ $ Organize the expression $ $

$\color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } = 15 - 5$

$- 5 x = \color{#FF6800}{ 15 } \color{#FF6800}{ - } \color{#FF6800}{ 5 }$

$ $ Subtract $ 5 $ from $ 15$

$- 5 x = \color{#FF6800}{ 10 }$

$\color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } = \color{#FF6800}{ 10 }$

$ $ Change the sign of both sides of the equation $ $

$5 x = - 10$

$\color{#FF6800}{ 5 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 10 }$

$ $ Divide both sides by the same number $ $

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

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