Answer
No solutions
Work Step by Step
We need to solve the given system of equations:
$x -y -z =1 ...(1) \\
2x +3y+z =2 ...(2) \\
3x +2y =0 ...(3) $
First, we add equations (1) and (2):
$x+2x+3y-y+z-z=1+2$
$3x+2y=3$ (4)
Notice that $z$ is eliminated.
Now, subtract equations (3) and (4):
$3x-3x+2y-2y=3-0$
$0=3$
Since $0$ never equals $3$, the system of equations is inconsistent and has no solutions.
