Solve the system using determinants.
-$$\begin{array} { l }
4 x + 3 y - 2 z = 7 \
- 3 y + 2 z = 5 \
- 4 x + 3 z = 0
\end{array}$$
A)(3, -1, -4)
B)(3, 1, 4)
C)(4, -1, 4)
D)(1, 4, 1)

Question

Solve the system using determinants.
-$$\begin{array} { l } 
4 x + 3 y - 2 z = 7 \
- 3 y + 2 z = 5 \
- 4 x + 3 z = 0
\end{array}$$
A)(3, -1, -4)
B)(3, 1, 4)
C)(4, -1, 4)
D)(1, 4, 1)

Quizplus · Accepted Answer

Using Cramer's Rule, solve the system by finding the determinant of the coefficient matrix and the determinants of matrices formed by replacing columns with the constants. The solution (x, y, z) is (3, 1, 4).

Solve the System Using Determinants 4x+3y−2z=7−3y+2z=5−4x+3z=0\begin{array} { l } 4 x + 3 y - 2 z = 7 \\- 3 y + 2 z = 5 \\- 4 x + 3 z = 0\end{array}4x+3y−2z=7−3y+2z=5−4x+3z=0​

Solve the System Using Determinants $\begin{array} { l } 4 x + 3 y - 2 z = 7 \\- 3 y + 2 z = 5 \\- 4 x + 3 z = 0\end{array}$