Solve the system of equations. $$\begin{array} { c }
x - 4 y + 5 z = - 8 \
2 x + 5 y - 3 z = - 3 \
3 x - 5 y + 3 z = - 17
\end{array}$$
A) $( - 4,4,5 )$
B) $( 1,1 , - 1 )$
C) $( - 4 , - 4 , - 4 )$
D) $( - 4,1,0 )$

Question

Solve the system of equations. $$\begin{array} { c } 
x - 4 y + 5 z = - 8 \
2 x + 5 y - 3 z = - 3 \
3 x - 5 y + 3 z = - 17
\end{array}$$
A) $( - 4,4,5 )$
B) $( 1,1 , - 1 )$
C) $( - 4 , - 4 , - 4 )$
D) $( - 4,1,0 )$

Quizplus · Accepted Answer

To solve the system of equations, we can use either substitution or elimination method. By adding the second and third equations, we can eliminate $y$, and then we can use any two equations to solve for the other variables. After solving, we find that the solution is $(-4, 1, 0)$, which corresponds to choice D.

Solve the System of Equations x−4y+5z=−82x+5y−3z=−33x−5y+3z=−17\begin{array} { c } x - 4 y + 5 z = - 8 \\2 x + 5 y - 3 z = - 3 \\3 x - 5 y + 3 z = - 17\end{array}x−4y+5z=−82x+5y−3z=−33x−5y+3z=−17​

Solve the System of Equations $\begin{array} { c } x - 4 y + 5 z = - 8 \\2 x + 5 y - 3 z = - 3 \\3 x - 5 y + 3 z = - 17\end{array}$