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Solve the equation
Answer
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Graph
$y = 60 x + 90 \left ( 3 - x \right )$
$y = 200$
$x$Intercept
$\left ( 9 , 0 \right )$
$y$Intercept
$\left ( 0 , 270 \right )$
$x = \dfrac { 7 } { 3 }$
$ $ Solve a solution to $ x$
$60 x + \color{#FF6800}{ 90 } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ x } \right ) = 200$
$ $ Multiply each term in parentheses by $ 90$
$60 x + \color{#FF6800}{ 90 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 90 } \color{#FF6800}{ x } = 200$
$60 x + \color{#FF6800}{ 90 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } - 90 x = 200$
$ $ Multiply $ 90 $ and $ 3$
$60 x + \color{#FF6800}{ 270 } - 90 x = 200$
$\color{#FF6800}{ 60 } \color{#FF6800}{ x } + 270 \color{#FF6800}{ - } \color{#FF6800}{ 90 } \color{#FF6800}{ x } = 200$
$ $ Calculate between similar terms $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 30 } \color{#FF6800}{ x } + 270 = 200$
$- 30 x \color{#FF6800}{ + } \color{#FF6800}{ 270 } = 200$
$ $ Move the constant to the right side and change the sign $ $
$- 30 x = 200 \color{#FF6800}{ - } \color{#FF6800}{ 270 }$
$- 30 x = \color{#FF6800}{ 200 } \color{#FF6800}{ - } \color{#FF6800}{ 270 }$
$ $ Subtract $ 270 $ from $ 200$
$- 30 x = \color{#FF6800}{ - } \color{#FF6800}{ 70 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 30 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 70 }$
$ $ Change the sign of both sides of the equation $ $
$30 x = 70$
$\color{#FF6800}{ 30 } \color{#FF6800}{ x } = \color{#FF6800}{ 70 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { \color{#FF6800}{ 7 } } { \color{#FF6800}{ 3 } } }$
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