Solve the system of equations.
-$$\left\{ \begin{array} { c }
x + y + z = - 5 \
x - y + 5 z = 3 \
4 x + y + z = - 17
\end{array} \right.$$
A) $x = 1 , y = - 2 , z = - 4$
B) $x = - 4 , y = - 2 , z = 1$
C) $x = 1 , y = - 4 , z = - 2$
D) inconsistent (no solution)

Question

Solve the system of equations.
-$$\left\{ \begin{array} { c } 
x + y + z = - 5 \
x - y + 5 z = 3 \
4 x + y + z = - 17
\end{array} \right.$$
A) $x = 1 , y = - 2 , z = - 4$
B) $x = - 4 , y = - 2 , z = 1$
C) $x = 1 , y = - 4 , z = - 2$
D) inconsistent (no solution)

Quizplus · Accepted Answer

Substituting $x = -4$, $y = -2$, $z = 1$ into all three equations satisfies them, confirming it as the solution.

Solve the System of Equations {x+y+z=−5x−y+5z=34x+y+z=−17\left\{ \begin{array} { c } x + y + z = - 5 \\x - y + 5 z = 3 \\4 x + y + z = - 17\end{array} \right.⎩⎨⎧​x+y+z=−5x−y+5z=34x+y+z=−17​

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