Solve the following by Cramer's rule : `3x-4y=1, 2x-7y=3`

Solve the following by Cramer's rule : 5x-y=9, 3x+y=7, x+y+z=4

Solve the following by Cramer's rule : 2x-3y=5, 4y+5z=6, 6x+7z=20

Solve the following by Cramer's rule : 2x+y-z=5, 3x-2y+2z=-3, x-3y-3z=-2

Solve the following by Cramer's rule : 2y-3z=0, x+2y+4=0, 3x+4z-3=0

Examine whether the following system of linear equations is consistent or not. If consistent solve the system by using Cramer's rule : 4x+y=2, 12x+3y=6

Examine whether the following system of linear equations is consistent or not. If consistent solve the system by using Cramer's rule : 2x-3y=0, -8x+12y=0

Examine whether the following system of linear equations is consistent or not. If consistent solve the system by using Cramer's rule : 6x-2y+3=0,-9x+3y=0

Solve the following pair of equations: 3x+2y=2xy, 6x+2y=3xy

Solve the following inequalities for real x: 3x-7 < x+1

Solve the following equations graphically x+y=3 , 3x-2y=4