Solve the System by Using the Inverse of the Coefficient $x-y+z=3$

Multiple Choice

Solve the system by using the inverse of the coefficient matrix.
- $x-y+z=3$
$x+y+z=1$
$\mathrm{x}+\mathrm{y}-\mathrm{z}=-7$

A) $(-2,-1,4)$
B) $(-2,4,-1)$
C) $(4,-2,-1)$
D) No solution