you want them to be parallel, so
3/6 = -1/k
3k = -6
k = -2
Determine the value of k for which the system of linear equations
3x − y = 2
6x + ky = 2
has no solution.
k =?
2 answers
the system of linear equations has no solution
... if the lines are parallel ... have the same slope ... -6/k = 3
... if the lines are parallel ... have the same slope ... -6/k = 3