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Formula
Solve the equation
Answer
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Graph
$y = 3 x + \dfrac { 1 } { 3 } \left ( 100 - x \right )$
$y = 100$
$x$-intercept
$\left ( - \dfrac { 25 } { 2 } , 0 \right )$
$y$-intercept
$\left ( 0 , \dfrac { 100 } { 3 } \right )$
$3x+ \dfrac{ 1 }{ 3 } \left( 100-x \right) = 100$
$x = 25$
$ $ Solve a solution to $ x$
$3 x + \color{#FF6800}{ \dfrac { 1 } { 3 } } \left ( \color{#FF6800}{ 100 } \color{#FF6800}{ - } \color{#FF6800}{ x } \right ) = 100$
$ $ Multiply each term in parentheses by $ \dfrac { 1 } { 3 }$
$3 x + \color{#FF6800}{ \dfrac { 1 } { 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 100 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 3 } } \color{#FF6800}{ x } = 100$
$3 x + \color{#FF6800}{ \dfrac { 1 } { 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 100 } - \dfrac { 1 } { 3 } x = 100$
$ $ Calculate the product of rational numbers $ $
$3 x + \color{#FF6800}{ \dfrac { 100 } { 3 } } - \dfrac { 1 } { 3 } x = 100$
$3 x + \dfrac { 100 } { 3 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 3 } } \color{#FF6800}{ x } = 100$
$ $ Calculate the multiplication expression $ $
$3 x + \dfrac { 100 } { 3 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { x } { 3 } } = 100$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } - \dfrac { x } { 3 } + \dfrac { 100 } { 3 } = 100$
$ $ Convert an equation to a fraction using $ a=\dfrac{a}{1}$
$\color{#FF6800}{ \dfrac { 3 x } { 1 } } - \dfrac { x } { 3 } + \dfrac { 100 } { 3 } = 100$
$\color{#FF6800}{ \dfrac { 3 x } { 1 } } - \dfrac { x } { 3 } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 100 } { 3 } } = 100$
$ $ Write all numerators above the least common denominator $ $
$\color{#FF6800}{ \dfrac { 9 x + 100 } { 3 } } - \dfrac { x } { 3 } = 100$
$\color{#FF6800}{ \dfrac { 9 x + 100 } { 3 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { x } { 3 } } = \color{#FF6800}{ 100 }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ 9 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 100 } \color{#FF6800}{ - } \color{#FF6800}{ x } = \color{#FF6800}{ 300 }$
$\color{#FF6800}{ 9 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 100 } \color{#FF6800}{ - } \color{#FF6800}{ x } = \color{#FF6800}{ 300 }$
$ $ Organize the expression $ $
$\color{#FF6800}{ 8 } \color{#FF6800}{ x } = \color{#FF6800}{ 200 }$
$\color{#FF6800}{ 8 } \color{#FF6800}{ x } = \color{#FF6800}{ 200 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ 25 }$
$ $ 그래프 보기 $ $
Graph
Solution search results
search-thumbnail-Which of the following rational numbers are 
equivalent? 
$0Ptionsy$ 
A \frac{5}{6}, \frac{30}{36} 
B $s\sqrt{rac\left(} -2\right)\left(3\right)\sqrt{1rac} \sqrt{4\right)16\right)4} $ 
C $s\sqrt{11aC\left(} -4\right)1-7b,\sqrt{1rac\left(16\sqrt{35\right)9} } $ 
D \frac{1}{2},\frac{3}{8}
7th-9th grade
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