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A

Explanation:

Let's say x represents adult tickets, and y represents child tickets.

We know that 2 adult tickets, x,  and 2 child tickets, y, added together total $26. This can be written as:

2x+2y=26

We also know that 2 adult tickets, x, and 3 child tickets, y, added together total $31. This can be written as:

2x+3y=31

So, our system is:

2x+2y=26

2x+3y=31

Therefore, choice A is correct.

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