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Solve the system of equations
Answer
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$x + 2 y = - 3$
$3 x + 6 y = - 9$
$x$Intercept
$\left ( - 3 , 0 \right )$
$y$Intercept
$\left ( 0 , - \dfrac { 3 } { 2 } \right )$
$x$Intercept
$\left ( - 3 , 0 \right )$
$y$Intercept
$\left ( 0 , - \dfrac { 3 } { 2 } \right )$
$\begin{cases} x+2y = -3 \\3x+6y = -9 \end{cases}$
$ $ There are countless solutions $ $
Solve quadratic equations using the square root
$\begin{cases} x + 2 y = - 3 \\ 3 x + 6 y = - 9 \end{cases}$
$ $ Solve a solution to $ x$
$\begin{cases} \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \\ 3 x + 6 y = - 9 \end{cases}$
$\begin{cases} \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \\ \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ y } = \color{#FF6800}{ - } \color{#FF6800}{ 9 } \end{cases}$
$ $ Substitute the given $ x $ value into the equation $ 3 x + 6 y = - 9$
$\color{#FF6800}{ 3 } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ y } = \color{#FF6800}{ - } \color{#FF6800}{ 9 }$
$\color{#FF6800}{ 3 } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ y } = \color{#FF6800}{ - } \color{#FF6800}{ 9 }$
$ $ Solve the equation $ $
$ $ There are countless solutions $ $
$\begin{cases} \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ y } = \color{#FF6800}{ - } \color{#FF6800}{ 3 } \\ \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ y } = \color{#FF6800}{ - } \color{#FF6800}{ 9 } \end{cases}$
$ $ Since it is satisfied with all the variables, there are a myriad of solutions to this system of equations $ $
$ $ There are countless solutions $ $
$ $ 그래프 보기 $ $
Graph
Solution search results
search-thumbnail-$14$ 
$ \begin{cases} x+2y=a \\ 3x+6y=9 \end{cases} $ $a$
10th-13th grade
English
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