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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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