it's 96 inches around and 2 inches wide
-- "Perimeter" means all the way around, all four sides.
-- That's two lengths and two widths.
-- So one length and one width is half of the perimeter.
-- If the perimeter is 16-ft, then one length + one width is 8-ft.
-- If the width is 5-ft, then the length is (8 - 5) = 3-ft.
We have to add the equations in a clever way such that one of the variables cancels out. If you multiply the top one with 3 and the bottom one with 2, you cancel x. Like this:
3(2x+3y)=3*6 => 6x + 9y = 18
2(-3x+5y)=2*10 => -6x + 10y = 20
9y + 10y = 38 => 19y = 38 => y=2
If y=2 then 2x + 6 = 6 => x=0
The pair (0,2) is a solution.
I will ask you to turn it in english instead of española.