Solve the system. If there is no solution or if the system's equations are dependent, so state.
-$$\left\{ \begin{array} { l }
x + y + z = 5 \
x - y + 5 z = 3 \
4 x + y + z = - 1
\end{array} \right.$$
A) infinitely many solutions; dependent equations
B) $\{ ( - 2,5,2 ) \}$
C) no solution or $\varnothing$
D) $\{ ( 2,5 , - 2 ) \}$

Question

Solve the system. If there is no solution or if the system's equations are dependent, so state.
-$$\left\{ \begin{array} { l } 
x + y + z = 5 \
x - y + 5 z = 3 \
4 x + y + z = - 1
\end{array} \right.$$
A) infinitely many solutions; dependent equations
B) $\{ ( - 2,5,2 ) \}$
C) no solution or $\varnothing$
D) $\{ ( 2,5 , - 2 ) \}$

Quizplus · Accepted Answer

The system of equations has a unique solution, which is $(-2, 5, 2)$.

Solve the System {x+y+z=5x−y+5z=34x+y+z=−1\left\{ \begin{array} { l } x + y + z = 5 \\x - y + 5 z = 3 \\4 x + y + z = - 1\end{array} \right.⎩⎨⎧​x+y+z=5x−y+5z=34x+y+z=−1​

Solve the System $\left\{ \begin{array} { l } x + y + z = 5 \\x - y + 5 z = 3 \\4 x + y + z = - 1\end{array} \right.$