Solve the system of equations using Cramer's rule.
-$2 \mathrm{x}-\mathrm{y}-2 \mathrm{z}=-16$
$$\begin{aligned}
& x+\frac{5}{2} y-4 z=10 \
& \frac{5}{2} x+\frac{5}{4} y-\frac{5}{3} z=15
\end{aligned}$$
A) $(3,10,6)$
B) $(5,14,6)$
C) $(4,10,7)$
D) $(4,12,6)$

Question

Quizplus · Accepted Answer

Using Cramer's rule, the determinant of the coefficient matrix is non-zero, and solving for x, y, and z gives the solution (4, 12, 6).

Solve the System of Equations Using Cramer's Rule 2x−y−2z=−162 \mathrm{x}-\mathrm{y}-2 \mathrm{z}=-162x−y−2z=−16

Solve the System of Equations Using Cramer's Rule $2 \mathrm{x}-\mathrm{y}-2 \mathrm{z}=-16$