SOLUTION: i need all the steps to solving this linear equation, thank you. determine the value of k for which the system of linear equationtions 2x - y = 3 4x + ky = 4 has no solut

Algebra ->  Linear-equations -> SOLUTION: i need all the steps to solving this linear equation, thank you. determine the value of k for which the system of linear equationtions 2x - y = 3 4x + ky = 4 has no solut      Log On


   



Question 50715: i need all the steps to solving this linear equation, thank you.
determine the value of k for which the system of linear equationtions
2x - y = 3
4x + ky = 4
has no solution.
thank you....

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
i need all the steps to solving this linear equation, thank you.
determine the value of k for which the system of linear equationtions
2x - y = 3
4x + ky = 4
has no solution.
thank you....
if the coefficient determinant is zero ,then depending on the value of the constants,we can get set eqns.with infinite or no solution.
so first step is to make coefficient determinant vanish
that is 2k+4=0
k=-2...we find that then
2x-y=3
4x-2y=4...which with the given constants are inconsistent as eqn.1 *2 gives
4x-2y=6...where as
4x-2y=4 as given.hence they have no solution for k=-2