Solve the system of linear equations and check any solution algebraically.? $$\left\{ \begin{array} { l l }
2 x + y - z & = 5 \
x - 2 y + 2 z & = - 7 \
3 x - y + z & = 3
\end{array} \right.$$ ?
A)? $( 5 , - 7,3 )$
B)? $( 5 , - 7 , - 3 )$
C)? $( - 5 , - 7,3 )$
D)No solution
E)? $( - 5 , - 7 , - 3 )$

Question

Solve the system of linear equations and check any solution algebraically.? $$\left\{ \begin{array} { l l } 
2 x + y - z & = 5 \
x - 2 y + 2 z & = - 7 \
3 x - y + z & = 3
\end{array} \right.$$ ?
A)? $( 5 , - 7,3 )$
B)? $( 5 , - 7 , - 3 )$
C)? $( - 5 , - 7,3 )$
D)No solution
E)? $( - 5 , - 7 , - 3 )$

Quizplus · Accepted Answer

The system of equations is inconsistent, since the second equation can be simplified to 0=1, which is impossible. Therefore, there are no solutions that satisfy both equations.

Solve the System of Linear Equations and Check Any Solution {2x+y−z=5x−2y+2z=−73x−y+z=3\left\{ \begin{array} { l l } 2 x + y - z & = 5 \\x - 2 y + 2 z & = - 7 \\3 x - y + z & = 3\end{array} \right.⎩⎨⎧​2x+y−zx−2y+2z3x−y+z​=5=−7=3​

Solve the System of Linear Equations and Check Any Solution $\left\{ \begin{array} { l l } 2 x + y - z & = 5 \\x - 2 y + 2 z & = - 7 \\3 x - y + z & = 3\end{array} \right.$