Use Gaussian elimination to solve the linear system by finding an equivalent system in triangular form.
-$$\begin{array} { l }
2 x + 5 y + z = - 26 \
3 x - 3 y - z = 21 \
3 x + y + 3 z = - 11
\end{array}$$
A)(1, -3, -5)
B)no solution
C)(1, -5, -3)
D)(-3, -5, 1)

Question

Use Gaussian elimination to solve the linear system by finding an equivalent system in triangular form.
-$$\begin{array} { l } 
2 x + 5 y + z = - 26 \
3 x - 3 y - z = 21 \
3 x + y + 3 z = - 11
\end{array}$$
A)(1, -3, -5)
B)no solution
C)(1, -5, -3)
D)(-3, -5, 1)

Quizplus · Accepted Answer

By applying Gaussian elimination, the system is reduced to triangular form, leading to the solution (1, -5, -3).

Use Gaussian Elimination to Solve the Linear System by Finding 2x+5y+z=−263x−3y−z=213x+y+3z=−11\begin{array} { l } 2 x + 5 y + z = - 26 \\3 x - 3 y - z = 21 \\3 x + y + 3 z = - 11\end{array}2x+5y+z=−263x−3y−z=213x+y+3z=−11​

Use Gaussian Elimination to Solve the Linear System by Finding $\begin{array} { l } 2 x + 5 y + z = - 26 \\3 x - 3 y - z = 21 \\3 x + y + 3 z = - 11\end{array}$