Solve a System of Linear Equations in Three Variables Using Cramer's Rule
-$$\begin{array} { r }
4 x + 3 y - z = 19 \
x - 5 y + 2 z = - 6 \
2 x + y + z = 19
\end{array}$$
A) $\{ ( 3,5,8 ) \}$
B) $\{ ( 5,8,5 ) \}$
C) $\{ ( 3 , - 5 , - 8 ) \}$
D) $\{ ( 4,3,8 ) \}$

Question

Solve a System of Linear Equations in Three Variables Using Cramer's Rule
-$$\begin{array} { r } 
4 x + 3 y - z = 19 \
x - 5 y + 2 z = - 6 \
2 x + y + z = 19
\end{array}$$
A) $\{ ( 3,5,8 ) \}$
B) $\{ ( 5,8,5 ) \}$
C) $\{ ( 3 , - 5 , - 8 ) \}$
D) $\{ ( 4,3,8 ) \}$

Quizplus · Accepted Answer

Using Cramer's Rule, the solution to the system is $ x = 3 $, $ y = 5 $, $ z = 8 $.

Solve a System of Linear Equations in Three Variables Using 4x+3y−z=19x−5y+2z=−62x+y+z=19\begin{array} { r } 4 x + 3 y - z = 19 \\x - 5 y + 2 z = - 6 \\2 x + y + z = 19\end{array}4x+3y−z=19x−5y+2z=−62x+y+z=19​

Solve a System of Linear Equations in Three Variables Using $\begin{array} { r } 4 x + 3 y - z = 19 \\x - 5 y + 2 z = - 6 \\2 x + y + z = 19\end{array}$