Determine whether the two systems of linear equations yield the same solutions. If so, find the solutions using matrices.
$$\begin{aligned}
\left\{ \begin{aligned}
x + 9 y + 9 z & = - 22 \
y - 6 z & = - 23 \
z & = 3
\end{aligned} \right.\
\left\{ \begin{aligned}
x + 8 y - 5 z & = - 63 \
y + 4 z & = 7 \
z & = 3
\end{aligned} \right.
\end{aligned}$$
A) $x = - 4 , y = - 5 , z = 3$
B) $x = 4 , y = 5 , z = 3$
C) $x = 5 , y = 3 , z = - 4$
D) $x = - 5 , y = 3 , z = - 4$
E) The systems yield different solutions.

Question

Quizplus · Accepted Answer

The third equation in both systems, $z = 3$, is the same, but substituting $z = 3$ into the other equations of each system yields different equations, indicating that the systems will have different solutions.

Determine Whether the Two Systems of Linear Equations Yield the Same