Solve the system of linear equations.
$$\left\{ \begin{aligned}
x + 5 y + 5 z & = 9 \
- 2 x + z & = - 6 \
2 x + 4 y - 3 z & = - 2
\end{aligned} \right.$$
A) $( - 4,0 , - 5 )$
B) $( 4 , - 1,2 )$
C) $( - 1,2,4 )$
D) $( 0 , - 5 , - 4 )$
E) $( 4 , - 1,1 )$

Question

Quizplus · Accepted Answer

To solve the system of equations, we can use either substitution or elimination method. Substituting each option into the equations, option B $(4, -1, 2)$ is the only one that satisfies all three equations.

Solve the System of Linear Equations {x+5y+5z=9−2x+z=−62x+4y−3z=−2\left\{ \begin{aligned}x + 5 y + 5 z & = 9 \\- 2 x + z & = - 6 \\2 x + 4 y - 3 z & = - 2\end{aligned} \right.⎩⎨⎧​x+5y+5z−2x+z2x+4y−3z​=9=−6=−2​

Solve the System of Linear Equations $\left\{ \begin{aligned}x + 5 y + 5 z & = 9 \\- 2 x + z & = - 6 \\2 x + 4 y - 3 z & = - 2\end{aligned} \right.$