Let the price of a senior ticket = x and a child ticket = y
Day 1 you have 3x + 1y = 38
Day 2 you have 3X + 2Y = 52
Using the subtraction method:
3x - 3x = 0
2y - 1y = 1y
52 - 38 = 14
So you have 1y = 14, which means the price of a child ticket is 14.
Using day 1 now you have 3x +1(14) = 38
Simplify:
3x + 14 = 38
Subtract 14 from each side:
3x = 24
Divide both sides by 3:
x = 24 /3 = 8
Senior tickets cost $8 and child tickets cost $14