Use Gaussian elimination to solve the system of equations.
$$\begin{aligned}
x - 4 z & = 2 \
2 y + 6 z & = 2 \
3 x - 3 y & = - 18
\end{aligned}$$
A) (-2, 4, -1)
B) (2, 0, 0)
C) No solution
D) Infinitely many solutions

Question

Quizplus · Accepted Answer

By using Gaussian elimination, the system can be reduced to a row-echelon form, leading to the solution x = -2, y = 4, z = -1.

Use Gaussian Elimination to Solve the System of Equations x−4z=22y+6z=23x−3y=−18\begin{aligned}x - 4 z & = 2 \\2 y + 6 z & = 2 \\3 x - 3 y & = - 18\end{aligned}x−4z2y+6z3x−3y​=2=2=−18​

Use Gaussian Elimination to Solve the System of Equations $\begin{aligned}x - 4 z & = 2 \\2 y + 6 z & = 2 \\3 x - 3 y & = - 18\end{aligned}$