Examine whether the following system of equations are consistent or inconsistent and if consistent, find the complete solution, `x+y+z = 1, 2x+y+z = 2, x+2y+2z = 1`.

Using matrix method examine whether the following system of equations is consistent or inconsistent or has infinite number of solutions: 3x + 2y+ 3z = 2, 5x + 7y + 5z = 3 and 4x + 5y + 4z = 4

Classify the following system of equations as consistent or inconsistent. If consistent, then solve them : x+y+4z=6 , 3x+2y-2z=9 , 5x+y+2z=13

Classify the following system of equations as consistent or inconsistent. If consistent, then solve them : 2x+5y-z=9 , 3x-3y+2z=7 , 2x-4y+3z=1

Classify the following system of equations as consistent or inconsistent. If consistent, then solve them : x-y+3z=6 , x+3y-3z=-4 , 5x+3y+3z=14

Examine the following system of equations for consistency or inconsistency 4x - 2y = 3 and 6x - 3y = 5

Classify the following system of equations as consistent or inconsistent. If consistent ,then solve them: 2x+5y-z=9,3x-3y+2z=7,2x-4y+3z=1