answer = 8
to solve this problem, we have to know that this sign | | represents absolute value and this implies that any value of number in between them automatically becomes a positive number irrespective of it's previous sign.
this brings us to our question today
[tex]\begin{gathered} |x|+|y| \\ x=5 \\ y=-3 \\ |5|+|3|=5+3=8 \end{gathered}[/tex]the value of the expression is equal to 8