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

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 : 2y-3z=0, x+2y+4=0, 3x+4z-3=0

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

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

Solve : 2x+3y=6 4x+6y=12

Solve the following : 3/x-6/y=1/6,2/x+3/y=1/2

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