Solve the following system of linear equations by matrix method: `3x-2y=7, 5x+3y=1`

Solve the following system of equations by matrix method: 3x+y=7,\ \ 5x+3y=12

Solve the following system of linear equations by matrix method: x+y+z=3,2x-y+z=2,x-2y=3z=2

Solve the following system of linear equations by matrix method: 2x+3y+3z=1,2x+2y+3z=2,x-2y+2z=3

Solve the following system of equations by matrix method: 5x+2y=3,\ \ 3x+2y=5

Solve the following system of equations by matrix method: 3x+7y=4,\ \ x+2y=-1

Solve the following system of equations by matrix method: 3x+4y-5=0,\ \ x-y+3=0

Solve the following system of equations by matrix method : 3x-4y=5 and 4x+2y=3

Solve the following system of equations by matrix method: 3x+y=19 ,\ \ 3x-y=23

Solve the following system of homogeneous linear equations by matrix method: 3x+y-2z=0,\ \ x+y+z=0,\ \ x-2y+z=0