Question

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

2y -x = 9

6y -3x = 21 

Answer 1

Thus, we have the following table giving points on the line 2x-x =9

Thus, we have the following table giving points on the line 6y-3x=21

We find the lines represented by equations 2y - x = 9 and 6y -3x = 21are parallel. So, the two lines have no common point.

Hence, the given system of equations is in-consistent.