Show that the following systems of linear equations has infinite number of solutions and solve `x-y+z=3,\ \ \ 2x+y-z=2,\ \ -x-2y+2z=1`

Show that the following systems of linear equations has infinite number of solutions and solve 2x+y-2z=4,\ \ x-2y+z=-2,\ \ 5x-5y+z=-2

Show that the following systems of linear equations has infinite number of solutions and solve 2x+y-2z=4,\ \ x-2y+z=-2,\ \ 5x-5y+z=-2

Show that the following systems of linear equations has infinite number of solutions x-y+z=3,\ \ \ 2x+y-z=2,\ \ -x-2y+2z=1

Show that the following systems of linear equations has infinite number of solutions and solve x-y+3z=6,\ \ x+3y-3z=-4,\ \ 5x+3y+3z=10

Show that the following systems of linear equations has infinite number of solutions and solve x-y+3z=6,\ \ x+3y-3z=-4,\ \ 5x+3y+3z=10

Show that the following system of equations has infinite number of solutions : x+2y+3z=1,3x+4y+5z=2,5x+6y+7z=3

In each of the following cases show that the given system of linear equations has infinite number of solutions: 2x - y + 3z = 5, 3x + 2y -z = 7, 4x + 5y - 5z = 9

Use Cramer's rule to show that the following system of equations has infinite number of solutions 2x-3y-z=0 , x+3y-2z=0 , x-3y=0

For what value of k the following system of linear equations wil have infinite solutions x-y+z=3, 2x+y-z=2 and -3x-2ky+6z=3

Show that the following system of equations has no solution : x+2y+3z=1,2x+3y+5z=1,3x+4y+7z=1