If the system of equations 3x-y+4z=3,x+2y-3z=-2, and 6x+5y+`lambda z`=-3 has infinite number of solutions ,then `lambda=`

Show that the system of equations 3x-y+4z=3,x+2y-3z=-2 and 6x+5y+lambda z=-3 has at least one solution for any real number lambda. Find the set of solutions of lambda=-5

The system of equations 2x-y+z=0,x-2y+z=0 and lambda x-y+2z=0 has infinite number of non-trivial solution for

Let the system of equations x+2y+3z=5,2x+3y+z=9,4x+3y+lambda z=mu have infinite number of solutions.Then lambda+2 mu is equal to:

The system of equations 3x+2y+z=6,3x+4y+3z=14 and 6x+10y+82=a ,has infinite number of solutions,if a is equal to

The system of equations 3x+2y+z=6,3x+4y+3z=14 and 6x+10y+82=a ,has infinite number of solutions,if a is equal to

If the system of equations 2x-3y+5z=12, 3x+y+lambdaz= mux7+y+8z=17 has infinitely many real solutions, then lambda+mu =

If the system of equations x+2y+3z=4,x+py+2z=3,x+4y+z=3 has an infinite number of solutions and solution triplet is