Question

Show graphically that each one of the following systems of equations has infinitely many solutions:

x-2y =6

3x -6y =0

Answer 1

Thus, we have the following table giving points on the line x-2y = 6

Thus, we have the following table giving points on the line 3x-6y =0

We find the lines represented by equations x - 2y =6 and 3x -6y = 0 are parallel. So, the two lines have no common point.
Hence, the given system of equations is in consistent.