Answer
2022
Work Step by Step
Magic Kingdom: $y=.25x+16.2$
Disneyland: $y=.35x+14.5$
$y=.25x+16.2$
$y-y-16.2=.25x+16.2-y-16.2$
$-16.2 = .25x-y$
$y=.35x+14.5$
$y-y-14.5=.35x+14.5-y-14.5$
$-14.5 = .35x-y$
Please see the applicable matrices.
We determine $x=17$, so the starting year is 2005, and our desired year is 2022.