Question

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

x+2y +11 =0

3x +6y +33 =0

Answer 1

Thus we have the following table giving points on the line x-2y +11=0

Thus we have the following table giving points on the line 3x+6y+33=0

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