Solve using Cramer's rule.
-$$\begin{array} { l }
3 x - 7 y - 5 z = - 58 \
2 x + 6 y - 7 z = 25 \
- 4 x - 6 y - 2 z = - 56
\end{array}$$
A) $( 3,5,3 )$
B) $( 2 , - 7 , - 3 )$
C) $( 7,3,7 )$
D) $( 2,7,3 )$

Question

Solve using Cramer's rule.
-$$\begin{array} { l } 
3 x - 7 y - 5 z = - 58 \
2 x + 6 y - 7 z = 25 \
- 4 x - 6 y - 2 z = - 56
\end{array}$$
A) $( 3,5,3 )$
B) $( 2 , - 7 , - 3 )$
C) $( 7,3,7 )$
D) $( 2,7,3 )$

Quizplus · Accepted Answer

Cramer's rule involves calculating determinants. The determinant of the coefficient matrix is non-zero, and solving using Cramer's rule gives the solution $(2, 7, 3)$.

Solve Using Cramer's Rule 3x−7y−5z=−582x+6y−7z=25−4x−6y−2z=−56\begin{array} { l } 3 x - 7 y - 5 z = - 58 \\2 x + 6 y - 7 z = 25 \\- 4 x - 6 y - 2 z = - 56\end{array}3x−7y−5z=−582x+6y−7z=25−4x−6y−2z=−56​

Solve Using Cramer's Rule $\begin{array} { l } 3 x - 7 y - 5 z = - 58 \\2 x + 6 y - 7 z = 25 \\- 4 x - 6 y - 2 z = - 56\end{array}$