Question

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

2x +3y =6

4x +6y =12

Answer 1

Thus, we have the following table giving points on the line 2x+3y =6

Thus, we have the following table giving points on the line 4x +6y =12

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