Solve the system of linear equations.? $$\left\{ \begin{array} { c c c }
x + y + z & = 2 \
x - y + 2 z & = - 13 \
- 4 y - z & = - 33
\end{array} \right.$$
A)? $( - 7,8,1 )$
B)? $( 8 , - 7,1 )$
C)? $( 7 , - 8,3 )$
D)?? $( - 8,7,3 )$
E)?? $( - 4,6,0 )$

Question

Solve the system of linear equations.? $$\left\{ \begin{array} { c c c } 
x + y + z & = 2 \
x - y + 2 z & = - 13 \
- 4 y - z & = - 33
\end{array} \right.$$
A)? $( - 7,8,1 )$
B)? $( 8 , - 7,1 )$
C)? $( 7 , - 8,3 )$
D)?? $( - 8,7,3 )$
E)?? $( - 4,6,0 )$

Quizplus · Accepted Answer

To solve the system, we can use substitution or elimination. Adding the first and third equations gives $x - 3y = -31$. Solving the system, we find $x = -7$, $y = 8$, and $z = 1$, which matches choice A.

Solve the System of Linear Equations {x+y+z=2x−y+2z=−13−4y−z=−33\left\{ \begin{array} { c c c } x + y + z & = 2 \\x - y + 2 z & = - 13 \\- 4 y - z & = - 33\end{array} \right.⎩⎨⎧​x+y+zx−y+2z−4y−z​=2=−13=−33​

Solve the System of Linear Equations $\left\{ \begin{array} { c c c } x + y + z & = 2 \\x - y + 2 z & = - 13 \\- 4 y - z & = - 33\end{array} \right.$