Show that the following system of equations is consistent. `x-y+z=3,2x+y-z=2,-x-2y+2z=1` Also, find the solution.

Show that the following system of equation is consistent. 2x-y+3z=5,3x+2y-z=7,4x+5y-5z=0

Show that the following system of equation is consistent.2x-y+3z=5,3x+2y-z=7,4x+5y-5z=0

Show that the following system of equations has no solution : x+2y+3z=1,2x+3y+5z=1,3x+4y+7z=1

Show that the following systems of linear equations are inconsistent: 3x-y+2z=3,\ \ 2x+y+3z=5,\ \ x-2y-z=1

Show that the following systems of linear equations are inconsistent: 3x-y+2z=3,\ \ 2x+y+3z=5,\ \ x-2y-z=1

Show that each of the following systems of linear equations is consistent and also find their solutions: 6x+4y=2 9x+6y=3 2x+3y=5 6x+9y=15 5x+3y+7z=4 3x+26 y+2z=9 7x+2y+10 z=5 x-y+z=3 2x+y-z=2 -x-2y+2z=1 x+y+z=6 x+2y+3z=14 x+4y+7z=30 2x+2y-2z=1 4x+4y-z=2 6x+6y+2z=3