Solve the system of equations.
-$$\begin{aligned}
x _ { 1 } - x _ { 2 } + 8 x _ { 3 } & = - 107 \
6 x _ { 1 } + x _ { 3 } & = 17 \
3 x _ { 2 } - 5 x _ { 3 } & = 89
\end{aligned}$$
A) $( 5,8 , - 13 )$
B) $( 5 , - 8 , - 13 )$
C) $( - 5,8,13 )$
D) $( - 5 , - 8,13 )$

Question

Quizplus · Accepted Answer

The correct answer is A because the system of equations has a unique solution, which is (5, 8, -13).

Solve the System of Equations x1−x2+8x3=−1076x1+x3=173x2−5x3=89\begin{aligned}x _ { 1 } - x _ { 2 } + 8 x _ { 3 } & = - 107 \\6 x _ { 1 } + x _ { 3 } & = 17 \\3 x _ { 2 } - 5 x _ { 3 } & = 89\end{aligned}x1​−x2​+8x3​6x1​+x3​3x2​−5x3​​=−107=17=89​

Solve the System of Equations $\begin{aligned}x _ { 1 } - x _ { 2 } + 8 x _ { 3 } & = - 107 \\6 x _ { 1 } + x _ { 3 } & = 17 \\3 x _ { 2 } - 5 x _ { 3 } & = 89\end{aligned}$