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Formula
Solve the equation
Answer
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Graph
$y = 5 x + 2$
$y = 3 x + 7$
$x$Intercept
$\left ( - \dfrac { 2 } { 5 } , 0 \right )$
$y$Intercept
$\left ( 0 , 2 \right )$
$x$Intercept
$\left ( - \dfrac { 7 } { 3 } , 0 \right )$
$y$Intercept
$\left ( 0 , 7 \right )$
$5x+2 = 3x+7$
$x = \dfrac { 5 } { 2 }$
$ $ Solve a solution to $ x$
$5 x + 2 = \color{#FF6800}{ 3 } \color{#FF6800}{ x } + 7$
$ $ Move the variable to the left-hand side and change the symbol $ $
$5 x + 2 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = 7$
$5 x \color{#FF6800}{ + } \color{#FF6800}{ 2 } - 3 x = 7$
$ $ Move the constant to the right side and change the sign $ $
$5 x - 3 x = 7 \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = 7 - 2$
$ $ Organize the expression $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = 7 - 2$
$2 x = \color{#FF6800}{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$ $ Subtract $ 2 $ from $ 7$
$2 x = \color{#FF6800}{ 5 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ 5 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { 5 } { 2 } }$
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