We say a linear system of equations is consistent if it has at least one solution and incon$-$

sistent if it has no solutions.

For each of the following systems of equations, write their corresponding augmented matrix

and state whether the system is consistent or inconsistent.

$($a$)$

x $+$ y $+$ z $=7$

$2$x $$ y $=5$

$2$x $+$ z $=3$