Determine whether the two systems of linear equations yield the same solutions.If so,find the solutions using matrices. $$\left\{ \begin{aligned}
x + 2 y - 4 z & = - 8 \
y - 7 z & = 4 \
z & = - 1
\end{aligned} \right.$$ $$\left\{ \begin{aligned}
x - y - 5 z & = 21 \
y - 6 z & = 3 \
z & = - 1
\end{aligned} \right.$$
A)x = 6,y = 3,z = -1
B)x = -6,y = -3,z = -1
C)x = 3,y = -1,z = -6
D)The systems yield different solutions.
E)x = -3,y = -1,z = -6

Question

Quizplus · Accepted Answer

The third equation in both systems directly gives $z = -1$, but the coefficients for $x$ and $y$ in the corresponding equations of the two systems are different, indicating that they will yield different solutions for $x$ and $y$.

Determine Whether the Two Systems of Linear Equations Yield the Same