Solve the system.
-$$\left\{ \begin{array} { r r }
x - 5 y - z = & 5 \
- 3 x + 15 y + 3 z = & - 15 \
4 x - 20 y - 4 z = & 20
\end{array} \right.$$
A) $( - 3,4 , - 28 )$
B) $( 4 , - 3,14 )$
C) $\{ ( x , y , z ) \mid x - 5 y - z = 5 \}$
D) $\varnothing$

Question

Solve the system.
-$$\left\{ \begin{array} { r r } 
x - 5 y - z = & 5 \
- 3 x + 15 y + 3 z = & - 15 \
4 x - 20 y - 4 z = & 20
\end{array} \right.$$
A) $( - 3,4 , - 28 )$
B) $( 4 , - 3,14 )$
C) $\{ ( x , y , z ) \mid x - 5 y - z = 5 \}$
D) $\varnothing$

Quizplus · Accepted Answer

The second and third equations are multiples of the first equation, indicating that they do not provide additional information. Therefore, there are infinitely many solutions that satisfy the first equation.

Solve the System {x−5y−z=5−3x+15y+3z=−154x−20y−4z=20\left\{ \begin{array} { r r } x - 5 y - z = & 5 \\- 3 x + 15 y + 3 z = & - 15 \\4 x - 20 y - 4 z = & 20\end{array} \right.⎩⎨⎧​x−5y−z=−3x+15y+3z=4x−20y−4z=​5−1520​

Solve the System $\left\{ \begin{array} { r r } x - 5 y - z = & 5 \\- 3 x + 15 y + 3 z = & - 15 \\4 x - 20 y - 4 z = & 20\end{array} \right.$