2a+2s=32 divide all terms by 2
a+s=16 subtract s from both sides
a=16-s
Then we are told that:
6a+7s=106, using a found above in this equation gives you:
6(16-s)+7s=106 perform indicated multiplication on the left side
96-6s+7s=106 combine like terms on left side
96+s=106 subtract 96 from both sides
s=10, and since a=16-s
a=6
So adult tickets cost $6.00 and student tickets cost $10.00.
