Using matrix method, determine whether the following system of equations is consistent or inconsistent.

$x+2y=2$

$2x+3y=3$.

Using matrix method, determine whether the following system of equations is consistent or inconsistent.

$x+2y=9$

$2x+4y=7$.

Using matrix method, determine whether the following system of equations is consistent or inconsistent.

$3x-y+2z=3$

$2x+y+3z=5$

$x-2y-z=1$.

Using matrix method, determine whether the following system of equations is consistent or inconsistent.

$5x-y+4z=5$

$2x+3y+5z=2$

$5x-2y+6z=-1$.

solve the following system of equations by using matrix method:

$x+y=1$

$7x+7y=7$.

Using matrix method, solve the following system of equations:

$x-2y+3z=6$

$x+4y+z=12$

$x-3y+4z=1$.

Using matrix method, solve the following system of equations:

$x+y+z=6$

$x-y+z=2$

$2x+y-z=1$.

Using matrix method, solve the following system of equations:

$x+y+z=9$

$2x+5y+7z=52$

$2x+y-z=0$.

Using matrix method, solve the following system of equations:

$x+2y=5$

$y+2z=8$

$2x+z=5$.