Use matrices to solve the system. $$\left\{ \begin{aligned}
4 x + 3 y - z & = - 4 \
x - 4 y + 5 z & = 1 \
4 y + 5 z & = 36
\end{aligned} \right.$$
A) $x = - 3 , y = 4 , z = 4$
B) $x = - 3 , y = - 7 , z = 6$
C) $x = 5 , y = - 4 , z = - 4$
D) The system is inconsistent
E) The equations are dependent

Question

Quizplus · Accepted Answer

By forming the augmented matrix and using Gaussian elimination, the solution to the system is found to be $x = -3$, $y = 4$, $z = 4$.

Use Matrices to Solve the System {4x+3y−z=−4x−4y+5z=14y+5z=36\left\{ \begin{aligned}4 x + 3 y - z & = - 4 \\x - 4 y + 5 z & = 1 \\4 y + 5 z & = 36\end{aligned} \right.⎩⎨⎧​4x+3y−zx−4y+5z4y+5z​=−4=1=36​

Use Matrices to Solve the System $\left\{ \begin{aligned}4 x + 3 y - z & = - 4 \\x - 4 y + 5 z & = 1 \\4 y + 5 z & = 36\end{aligned} \right.$