Solve the system of equations.
$$\begin{aligned}
- 8 x - 7 y + 2 z & = 7 \
x - 4 y + 3 z & = - 9 \
8 x + 2 y - 5 z & = 10
\end{aligned}$$
A) $( 1 , - 1,4 )$
B) $( - 1 , - 4 , - 8 )$
C) $( - 1 , - 3 , - 11 )$
D) $( - 1 , - 1 , - 4 )$

Question

Quizplus · Accepted Answer

To solve the system of equations, we can use either substitution or elimination method. Here, adding the first and third equations cancels out $x$, and we can solve the resulting system for $y$ and $z$, then back-substitute to find $x$. After solving, we find that the solution to the system is $(-1, -1, -4)$, which corresponds to choice D.

Solve the System of Equations −8x−7y+2z=7x−4y+3z=−98x+2y−5z=10\begin{aligned}- 8 x - 7 y + 2 z & = 7 \\x - 4 y + 3 z & = - 9 \\8 x + 2 y - 5 z & = 10\end{aligned}−8x−7y+2zx−4y+3z8x+2y−5z​=7=−9=10​

Solve the System of Equations $\begin{aligned}- 8 x - 7 y + 2 z & = 7 \\x - 4 y + 3 z & = - 9 \\8 x + 2 y - 5 z & = 10\end{aligned}$