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Solve the system of equations
Answer
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Graph
$x - 4 y = - 5$
$3 x - 8 y = 1$
$x$Intercept
$\left ( - 5 , 0 \right )$
$y$Intercept
$\left ( 0 , \dfrac { 5 } { 4 } \right )$
$x$Intercept
$\left ( \dfrac { 1 } { 3 } , 0 \right )$
$y$Intercept
$\left ( 0 , - \dfrac { 1 } { 8 } \right )$
$\begin{cases} x-4y = -5 \\3x-8y = 1 \end{cases}$
$x = 11 , y = 4$
Solve quadratic equations using the square root
$\begin{cases} x - 4 y = - 5 \\ 3 x - 8 y = 1 \end{cases}$
$ $ Solve a solution to $ x$
$\begin{cases} \color{#FF6800}{ x } = \color{#FF6800}{ 4 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \\ 3 x - 8 y = 1 \end{cases}$
$\begin{cases} \color{#FF6800}{ x } = \color{#FF6800}{ 4 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \\ \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ y } = \color{#FF6800}{ 1 } \end{cases}$
$ $ Substitute the given $ x $ value into the equation $ 3 x - 8 y = 1$
$\color{#FF6800}{ 3 } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ y } = \color{#FF6800}{ 1 }$
$\color{#FF6800}{ 3 } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ y } = \color{#FF6800}{ 1 }$
$ $ Solve a solution to $ y$
$\color{#FF6800}{ y } = \color{#FF6800}{ 4 }$
$\color{#FF6800}{ y } = \color{#FF6800}{ 4 }$
$ $ Substitute the given $ y $ value into the equation $ x = 4 y - 5$
$\color{#FF6800}{ x } = \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 5 }$
$\color{#FF6800}{ x } = \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 5 }$
$ $ Organize the expression $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ 11 }$
$\color{#FF6800}{ x } = \color{#FF6800}{ 11 }$
$ $ The possible solutions are as follows $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ 11 } , \color{#FF6800}{ y } = \color{#FF6800}{ 4 }$
$\color{#FF6800}{ x } = \color{#FF6800}{ 11 } , \color{#FF6800}{ y } = \color{#FF6800}{ 4 }$
$ $ Check if it is the solution to the system of equations $ $
$\begin{cases} \color{#FF6800}{ 11 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \\ \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 11 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } = \color{#FF6800}{ 1 } \end{cases}$
$\begin{cases} \color{#FF6800}{ 11 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \\ \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 11 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } = \color{#FF6800}{ 1 } \end{cases}$
$ $ Simplify the equality $ $
$\begin{cases} \color{#FF6800}{ - } \color{#FF6800}{ 5 } = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \\ \color{#FF6800}{ 1 } = \color{#FF6800}{ 1 } \end{cases}$
$\begin{cases} \color{#FF6800}{ - } \color{#FF6800}{ 5 } = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \\ \color{#FF6800}{ 1 } = \color{#FF6800}{ 1 } \end{cases}$
$ $ Since it is true in both equations, it is the solution of the system of equations $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ 11 } , \color{#FF6800}{ y } = \color{#FF6800}{ 4 }$
$ $ 그래프 보기 $ $
Graph
Solution search results
search-thumbnail-SHEILA M 
istant Schools Division Superine 
a of the Schools Division 
3. What system of linear equations in two variables is the same as 10. AL 
- 
A. $ \begin{cases} 4x+10y=5 \\ 2x-3y=15 \end{cases} $ $5y$ $=-15$ $ \begin{cases} 4x \\ 2\bar{x} -3y=15 \end{cases} $ 
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11. L 
B. $ \begin{cases} 4x-10y=15 \\ 2x-3y=15 \end{cases} $ D. $ \begin{cases} 4x+10y=-5 \\ 3x-2y=-15 \end{cases} $ 
- 
4. Which of the following ordered pairs $sat1siostm0systom \begin{cases} x+4y=-1 \\ x+2y=1 \end{cases} $ 
du o 12 
A 
B. ((--33, , -1) 1) DC. . ((33,,1-) 1) 
5. What is the value of y if x = $-5intnesystem$ $ \begin{cases} 3x+5y=-5 \\ x-2y=-9 \end{cases} $ 
nodeups l one 
A.O alesldenvw 
B. 1 boletau DC. 3 . 2 
6. What equation is best paired to $2x+y=3to$ 
to make an inconsistent system of linear 
equations in two variables? 
B. xx -+y 2 = = 4 y D. -2x +3 
A. C. y y = = -2x +1 
7. Which of the following equations can be paired with $6x-3y=24t0$ make a consistent 
to and dependent system? oa Wwen 
A. y %3D 2x - 8 $C$ $y=6x+24$ $D.y=6x-24$ 
B. y = 2x + 8 
4 
8. What system of linear equations in two variables is the same as xx -- y 4y %= 3D 6 
$A \begin{cases} x-8y=8 \\ 3x-y=18 \end{cases} $ C. $ \begin{cases} 8x-y=8 \\ x-3y=18 \end{cases} $ 
$D. \begin{cases} 8x+y=-8 \\ x+3y=-18 \end{cases} $ 
B. $ \begin{cases} 3^{x+8y}=8 \\ x \\ + \\ = \\ y \end{cases} $ $18$ 
the fotlowing is a system of linear equations in two variables? 
9. Which of 
$c. \begin{cases} 3y=8 \\ -6\bar{x} +y=6 \end{cases} $ 
$A \begin{cases} -x=5 \\ -4y=4 \end{cases} $ $y$ 

$D. \begin{cases} x+4=y \\ 2x-2y=-8 \end{cases} $ 
B. $ \begin{cases} 3x2y=4 \\ 4\bar{x} =-3 \end{cases} $ -
7th-9th grade
Other
search-thumbnail-$ \begin{cases} x-4y=6 \\ 2x-8y=1 \end{cases} $ $12$
7th-9th grade
Algebra
search-thumbnail-$∩$ $∩1$ 
$ \begin{cases} 3\left(x-1\right)-2\left(1+x\right)<1 \\ 3x-11>0 \end{cases} $ $ \begin{cases} 3x-3-2+2x47 \\ 3x-4>0 \end{cases} $ 
$ \begin{cases} x<7+5 \\ 222l+4 \end{cases} $ $ \begin{cases} x<6 \\ 3x>4 \end{cases} $
1st-6th grade
Other
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