![](https://www.sarthaks.com/?qa=blob&qa_blobid=2862416945475817466)
Thus, we have the following table giving points on the line 2x+3y =6
![](https://www.sarthaks.com/?qa=blob&qa_blobid=11859014377801217533)
Thus, we have the following table giving points on the line 4x +6y =12
![](https://www.sarthaks.com/?qa=blob&qa_blobid=3276753128127696963)
![](https://www.sarthaks.com/?qa=blob&qa_blobid=9529604873440876095)
Thus, the graphs of the two equations are coincident. Hence, the system of equations has infinitely many solutions.