Answer
The roadway miles in South Dakota is 82,354 miles.
The roadway miles in North Dakota is 86,843 miles.
Work Step by Step
Let $s$ be the roadway miles in South Dakota.
The roadway miles in North Dakota is $s+4489$.
$s+s+4489=169197$ $\longrightarrow$combine like terms
$2s+4489=169197$ $\longrightarrow$addition property
$2s+4489-4489=169197-4489$ $\longrightarrow$combine like terms
$2s=164708$ $\longrightarrow$multiplication property
$2s\div2=164708\div2$ $\longrightarrow$divide
$s=82354$
$s+4489=82354+4489=86843$