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Solve the equation
Answer
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Graph
$5 x - y = 9$
$x$Intercept
$\left ( \dfrac { 9 } { 5 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 9 \right )$
$5x-y = 9$
$x = \dfrac { 1 } { 5 } y + \dfrac { 9 } { 5 }$
$ $ Solve a solution to $ x$
$5 x \color{#FF6800}{ - } \color{#FF6800}{ y } = 9$
$ $ Move the rest of the expression except $ x $ term to the right side and replace the sign $ $
$5 x = 9 \color{#FF6800}{ + } \color{#FF6800}{ y }$
$5 x = \color{#FF6800}{ 9 } \color{#FF6800}{ + } \color{#FF6800}{ y }$
$ $ Organize the expression $ $
$5 x = \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 9 }$
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } = \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 9 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \left ( \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ 5 }$
$x = \left ( y + 9 \right ) \color{#FF6800}{ \div } \color{#FF6800}{ 5 }$
$ $ Convert division to multiplication $ $
$x = \left ( y + 9 \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } }$
$x = \left ( \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } }$
$ $ Multiply each term in parentheses by $ \dfrac { 1 } { 5 }$
$x = \color{#FF6800}{ \dfrac { 1 } { 5 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } }$
$x = \dfrac { 1 } { 5 } y + \color{#FF6800}{ 9 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } }$
$ $ Calculate the product of rational numbers $ $
$x = \dfrac { 1 } { 5 } y + \color{#FF6800}{ \dfrac { 9 } { 5 } }$
$y = 5 x - 9$
$ $ Solve a solution to $ y$
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } - y = 9$
$ $ Move the rest of the expression except $ y $ term to the right side and replace the sign $ $
$- y = 9 \color{#FF6800}{ - } \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ x } \right )$
$- y = \color{#FF6800}{ 9 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ x } \right )$
$ $ Organize the expression $ $
$- y = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 9 }$
$\color{#FF6800}{ - } \color{#FF6800}{ y } = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 9 }$
$ $ Change the sign of both sides of the equation $ $
$y = 5 x - 9$
$ $ 그래프 보기 $ $
Linear function
Solution search results
search-thumbnail-$2AR$ $11$ Activities 
Activity $1$ $A$ $Directions$ From the given expressions below, write LI if the 
expression is a Linear Inequality and NLI if it not a linear inequality. 
$1.x+y>8$ $6.y=-3x-6$ 
$2.y^{2}>5$ $7.y\geq 15x-2+w$ 
$3.y=x+2$ $8.x-y=9$ 
$5x-y\geq 7$ $9.x+2y>4$ 
$5.4$ $4x+3y>10$ $-$ $10.-x-3y\geq 3$
7th-9th grade
Algebra
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