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Solve the equation
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$y = 3 x + 101 - 4 x - 33$
$y = 108 - 16 x - 100$
$x$Intercept
$\left ( 68 , 0 \right )$
$y$Intercept
$\left ( 0 , 68 \right )$
$x$Intercept
$\left ( \dfrac { 1 } { 2 } , 0 \right )$
$y$Intercept
$\left ( 0 , 8 \right )$
$3x+101-4x-33 = 108-16x-100$
$x = - 4$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } + 101 \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } - 33 = 108 - 16 x - 100$
$ $ Calculate between similar terms $ $
$\color{#FF6800}{ - } \color{#FF6800}{ x } + 101 - 33 = 108 - 16 x - 100$
$- x + \color{#FF6800}{ 101 } \color{#FF6800}{ - } \color{#FF6800}{ 33 } = 108 - 16 x - 100$
$ $ Subtract $ 33 $ from $ 101$
$- x + \color{#FF6800}{ 68 } = 108 - 16 x - 100$
$- x + 68 = \color{#FF6800}{ 108 } - 16 x \color{#FF6800}{ - } \color{#FF6800}{ 100 }$
$ $ Subtract $ 100 $ from $ 108$
$- x + 68 = \color{#FF6800}{ 8 } - 16 x$
$- x + 68 = \color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ 16 } \color{#FF6800}{ x }$
$ $ Organize the expression $ $
$- x + 68 = \color{#FF6800}{ - } \color{#FF6800}{ 16 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 8 }$
$- x + 68 = \color{#FF6800}{ - } \color{#FF6800}{ 16 } \color{#FF6800}{ x } + 8$
$ $ Move the variable to the left-hand side and change the symbol $ $
$- x + 68 \color{#FF6800}{ + } \color{#FF6800}{ 16 } \color{#FF6800}{ x } = 8$
$- x \color{#FF6800}{ + } \color{#FF6800}{ 68 } + 16 x = 8$
$ $ Move the constant to the right side and change the sign $ $
$- x + 16 x = 8 \color{#FF6800}{ - } \color{#FF6800}{ 68 }$
$\color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 16 } \color{#FF6800}{ x } = 8 - 68$
$ $ Organize the expression $ $
$\color{#FF6800}{ 15 } \color{#FF6800}{ x } = 8 - 68$
$15 x = \color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ 68 }$
$ $ Subtract $ 68 $ from $ 8$
$15 x = \color{#FF6800}{ - } \color{#FF6800}{ 60 }$
$\color{#FF6800}{ 15 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 60 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
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