You didn't ask a question. I assume you want to know the price per ticket.

x = price of senior citizen ticket

y = price of child ticket

3x + y = 38 ← first day 3 seniors and 1 child for $38

3x + 2y = 52 ← second day 3 seniors and 2 children for $52

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-y = -14 ← subtracted the two equations

y = 14 ← divided by -1

3x + y = 38 ← first equation

3x + 14 = 38 ← substituted 14 in for y

3x = 24 ← subtracted 14

x = 8 ← divided by 3

senior citizen ticket costs $14

child ticket costs $8

- Proof

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