In each of the following systems of equations determine whether the system has a unique solution, 2x+y -5=0 ;4x+2y-10 =0

Question

In each of the following systems of equations determine whether the system has a unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it:

2x+y -5=0

4x+2y-10 =0

Answer 1

The given system of equation may be written as

The given system of equations is of the form

So, the given system of equation has infinity many solutions.