Question 169932
You have solved a major portion:
let x= dollars invested at 8%
$200,000-x = dollars invested at 5%. 
Equation as .08x+ .05(200,000-x)=$14,800
From here 3 more steps..
1. Expand...
0.08x+10000-0.05x=14800
2. Simplify
0.03x=14800-10000=4800
3. Solve
0.03x=4800
x=4800/0.03=160000
So ..Answer
dollars invested at 8%=160000
dollars invested at 5%=40000
good day