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Formula
Solve the equation
Graph
$y = 60 x + 90 \left ( 3 - x \right )$
$y = 200$
$x$-intercept
$\left ( 9 , 0 \right )$
$y$-intercept
$\left ( 0 , 270 \right )$
$60x+90 \left( 3-x \right) = 200$
$x = \dfrac { 7 } { 3 }$
 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 
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { 7 } { 3 } }$
 그래프 보기 
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