Answer: the system of equations are
3x + 2y = 170
4x + 6y = 360
Explanation:
Let x represent the price of a child's ticket in dollars.
Let y represent the price of an adult's ticket in dollars.
The Brown family paid 170 for 3 children and 2 adults. This would be expressed as
3x + 2y = 170
The Peckham family paid 360 for 4 children and 6 adults. This would be expressed as
4x + 6y = 360