The linear combination method is applied to a system of equations: (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.

0 = 0 indicates that (d) there are infinitely many solutions to the system.

Equations can have one, zero, multiple or infinitely many solutions.

The end result of the given equation is given as:

The above equation means that:

The equation has infinitely many solutions.

Hence, the true statement is (d)

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