Question

For what value of k, the following system of equations will represent the coincident lines?
x+2y+7 =0
2x+ky+14=0

Answer 1

The given system of equations may be written as

The given system of equations is of the form

The given equations will represent coincident lines if they have infinitely many solutions,
The conditionfor which is

Hence, the given system of equations will represent coincident lines, if k=4.