Answer
${{\$}} 5000$ was invested into the $ 5\%$ paying account, and
${{\$}} 6000$ was invested into the $ 8\%$ paying account.
Work Step by Step
Let $ x $ = amount invested into the $ 5\%$ paying account.
Interest earned from the $ 5\%$ paying account = $0.05x $
The rest of the investment, $(11,000-x)$ earns $ 8\%$, which equals $\qquad $
$0.08(11,000-x)$
The sum of these amounts earned is ${{\$}} 730:$
$0.05x+0.08(11000-x)=730$
$0.05x+880-0.08x=730$
$-0.03x=730-880$
$-0.03x=-150 \qquad $ ... multiply with $-\displaystyle \frac{100}{3}$
$ x=5000$
So, ${{\$}} 5000$ was invested into the $ 5\%$ paying account, and
${{\$}} 6000$ was invested into the $ 8\%$ paying account.
