Solve the system. Express the solution in the form $(x, y, z, w)$.
-$\begin{aligned}
4 y+w & =-19 \
X+y+2 z-w & =9 \
4 x+z+2 w & =13 \
X+y+2 z & =6
\end{aligned}$

A) $\{(4,-16,6,-6)\}$
B) $\{(4,-4,3,-3)\}$
C) $\{(16,-16,6,-12)\}$
D) $\{(4,-4,6,-3)\}$

Question

Solve the system. Express the solution in the form $(x, y, z, w)$.
-$\begin{aligned}
4 y+w & =-19 \
X+y+2 z-w & =9 \
4 x+z+2 w & =13 \
X+y+2 z & =6
\end{aligned}$

A) $\{(4,-16,6,-6)\}$
B) $\{(4,-4,3,-3)\}$
C) $\{(16,-16,6,-12)\}$
D) $\{(4,-4,6,-3)\}$

Quizplus · Accepted Answer

To solve the system of equations, we can use methods such as substitution or elimination. However, without going through the detailed steps due to the format, the correct solution can be verified by substituting the values of $x, y, z, w$ from each option into the original equations. Option B $(4, -4, 3, -3)$ satisfies all the given equations when substituted back, making it the correct choice.

Solve the System (x,y,z,w)(x, y, z, w)(x,y,z,w) - 4y+w=−19X+y+2z−w=94x+z+2w=13X+y+2z=6\begin{aligned}4 y+w & =-19 \\X+y+2 z-w & =9 \\4 x+z+2 w & =13 \\X+y+2 z & =6\end{aligned}4y+wX+y+2z−w4x+z+2wX+y+2z​=−19=9=13=6​

Solve the System $(x, y, z, w)$
- $\begin{aligned}4 y+w & =-19 \\X+y+2 z-w & =9 \\4 x+z+2 w & =13 \\X+y+2 z & =6\end{aligned}$