Solve a System of Linear Equations in Three Variables Using Cramer's Rule
-$$\begin{aligned}
2 x - 2 y - 2 z & = - 6 \
- 4 y - 4 z & = - 36 \
2 x + 4 z & = 32
\end{aligned}$$
A) $\{ ( 6,4,5 ) \}$
B) $\{ ( 4,5,4 ) \}$
C) $\{ ( 6 , - 4 , - 5 ) \}$
D) $\{ ( 7,2,5 ) \}$

Question

Quizplus · Accepted Answer

By using Cramer's Rule, the solution to the system of equations is $ x = 6 $, $ y = 4 $, $ z = 5 $.

Solve a System of Linear Equations in Three Variables Using 2x−2y−2z=−6−4y−4z=−362x+4z=32\begin{aligned}2 x - 2 y - 2 z & = - 6 \\- 4 y - 4 z & = - 36 \\2 x + 4 z & = 32\end{aligned}2x−2y−2z−4y−4z2x+4z​=−6=−36=32​

Solve a System of Linear Equations in Three Variables Using $\begin{aligned}2 x - 2 y - 2 z & = - 6 \\- 4 y - 4 z & = - 36 \\2 x + 4 z & = 32\end{aligned}$