$\left\{ \begin{array} { l }
2 x + y - 4 z + w = - 17 \
- x + 2 y + z - 2 w = 7 \
4 x - y + 2 z + 4 w = 11 \
x + y - 2 z - w = - 3
\end{array} \right.$
A) x=4, y=-1, z=5, w=-4
B) x=-1, y=3, z=6, w=1
C) x=4, y=-2, z=0, w=4
D) x=-4, y=-5, z=10, w=4

Question

$\left\{ \begin{array} { l } 
2 x + y - 4 z + w = - 17 \
- x + 2 y + z - 2 w = 7 \
4 x - y + 2 z + 4 w = 11 \
x + y - 2 z - w = - 3
\end{array} \right.$
A)  x=4, y=-1, z=5, w=-4 
B)  x=-1, y=3, z=6, w=1 
C)  x=4, y=-2, z=0, w=4 
D)  x=-4, y=-5, z=10, w=4

Quizplus · Accepted Answer

To solve the system of equations, you can use methods such as substitution, elimination, or matrix inversion. By solving the given system, you will find that the solution set that satisfies all four equations is x=4, y=-1, z=5, w=-4.

A) X=4, Y=-1, Z=5, W=-4 B) X=-1

A) X=4, Y=-1, Z=5, W=-4
B) X=-1