Answer:
there were 82 adult tickets and 32 children tickets that were sold
Step-by-step explanation:
x = adult's tickets
y = children's tickets
[tex]\left \{ {{x + y = 114} \atop {11x + 6y = 1094}} \right.[/tex]
x + y = 114
y = -x +114
replace y by -x +114 in the second equation
11x + 6y = 1094
11x + 6(-x + 114) = 1094
11x -6x + 684 = 1094
5x + 684 = 1094
5x = 410
x = 82
x + y = 114
82 + y = 114
y = 32
