SOLUTION: determine the values of k for which the system kx+2ky+3kz=4k x+y+z=0 2x-y+z=0 has exactly no solution

Question 1042311: determine the values of k for which the system
kx+2ky+3kz=4k
x+y+z=0
2x-y+z=0
has exactly no solution

Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
determine the values of k for which the system
kx+2ky+3kz=4k
x+y+z=0
2x-y+z=0
has exactly no solution
~~~~~~~~~~~~~~~~~~~~~~~~~

The term "has exactly no solution" is new in Math.

I never saw this.

Congratulations! You are the first who uses it !

RELATED QUESTIONS
Find all values of k, for which the system of equations 2x-2y+kz=0 x+4z=0 kx+y+z=0... (answered by TheProdicalSon)

Determine the values of K for which the following system has a nonzero... (answered by ankor@dixie-net.com)

For what values of k' the following system has 2x+y=0 x+ 2y + kz = -1 x k²z = 1 (answered by MathLover1)

For what values of k' the following system has 2x+y=0 x+ 2y + kz = -1 x +k²z =... (answered by math_helper)

Determine the values of K for which the following system has a nonzero... (answered by solver91311)

Let K be a real number. Consider the following system of equations: x - y + 3z =... (answered by ikleyn)

If two circles {{{ x^2 + y^2 + 2x + 2ky + 6 = 0 }}} and {{{ x^2 + y^2 + 2ky + k = 0 }}}... (answered by MathLover1,ikleyn)

How to solve the equations for x, y, z in terms of k? And how to find the value of k for (answered by stanbon)

The values of K for which the system of equations x + y = 4 Kx + 2y + 3z = 1 2x + y +... (answered by richwmiller)