Final answer:
The system of equations that has an infinite number of solutions is 2x - 6y = 18 and x - 3y = 9.
Step-by-step explanation:
The system of equations that has an infinite number of solutions is:
2x - 6y = 18
x - 3y = 9
To determine if a system of equations has an infinite number of solutions, we can check if the two equations are dependent. If the two equations are equivalent or proportional, then they represent the same line and have infinite solutions. In this case, the second equation can be obtained by multiplying the first equation by a non-zero constant. Therefore, the given system of equations has an infinite number of solutions.
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