A child's ticket is 10 dollars. An adult's ticket is 19 dollars.
X= adult ticket
y= child ticket
3x + 4y = 97 (multiply by negative 2)
2x + 3y = 68 (multiply by 3)
-6x - 8y = -194
6x + 9y = 204
(add)
y= 10
Then choose an equation to substitute y for 10 to get 19.