Rearrange as
-8x + 5y = 8
8x + 7y = 16
This works out nice and neat....add the two equations
12y = 24 divide both sides by 12
y =24/12 = 2
And using either equation
8x + 7(2) =16
8x + 14 = 16
8x = 16 - 14
8x = 2
x = 2/8 = 1/4
The intersection is ( 1/4, 2 )