Answer
The two equations/lines are $parallel$. No solution.
Work Step by Step
We use the addition method below:
We add the two equations:
$5x-8y=10$
$-10x+16y=8$
Multiply both sides of the first equation by $2$ to cancel $x$.
$+10x-16y=20$
$\underline{-10x+16y=8}$
$0=28$
This is a false statement. No solution.
So the two equations/lines are parallel.