(4x + 10y = 12)One-half
(10x + 25y = 30) – One-fifth
2x + 5y = 6
–2x – 5y = –6
0 = 0
What does 0 = 0 indicate about the solutions of the system?
There are 0 solutions to the system.
The solution to the system is (0, 0).
There are solutions to the system at the x- and y-intercepts.
There are infinitely many solutions to the system.
1 answer
The equation \(0 = 0\) indicates that the two equations in the system are dependent. This means that they represent the same line in a graph, confirming that any point on that line is a solution to the system.
Therefore, the correct interpretation is:
There are infinitely many solutions to the system.
