Question

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

3x +y =8

6x +2y =16

Answer 1

Thus we have the following table giving points on the line 3x +y =8

Thus we have the following table giving points on the line 6x +2y =16

Thus, the graphs of the two equations are coincident.
Hence, the system of equations has infinitely many solutions