[101:" Test for consistency and solve to fond the value of "y],[5x+3y+7z=4],[3x+26y+2z=9],[7x+2y+10z=5]

By using the principle of matrix, show that the following system of equations has infinite solution: 5x+3y+7z=4, 3x+26y+2z=9, 7x+2y+10z=5 .

Test for consistency and if possible solve the following system of equations by rank method. 3x+y+z=2,x-3y+2z=1, 7x-y+4z=5.

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

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