Answer:
Please check the explanation.
Step-by-step explanation:
If the lines are identical, there must be an infinite number of solutions. In other words, they are the coordinate of all the points on that line.
It means the lines will be overlapping. Since lines will be overlapping, it means they are the same exact line.
Given the line
3y = 2x-9
As the system of equations has an infinite number of solutions, it means the lines must be identical.
So, the other line can be obtained by multiplying the line 3y = 2x-9 by any scalar number, let say by 2.
so
6y = 4x-18 will be another line.
Thus, the system of equations become:
3y = 2x-9
6y = 4x-18
The graph is attached below.
The graph indicates that both lines are overlapping with each other. Hence, the lines will be identical and the system of the equations will have an infinite number of solutions.
