Question 957696
S=amount at 6%; E=amount at 8%=S+$500
0.06S+0.08E=$180 Substitute for E
0.06S+0.08(S+$500)=$180
0.06S+0.08S+$40=$180 Subtract $40 from each side.
0.14S=$140 Divide each side by 0.14
S=1000 ANSWER 1: The amount invested at 6% was $1000.
E=S+$500=$1000+$500=$1500 ANSWER 2: The amount invested at 8% was $1500.
CHECK:
0.06S+0.08E=$180
0.06($1000)+0.08($1500)=$180 
$60+$120=$180
$180=$180