Question 958563
NOTE: I personally will no longer respond to questions spread down the page.
They are difficult to read, and take time that could be better devoted to the questions of students who enter them properly. 
.
T=amount invested at 10%; E=amount invested at 8%
T+E=$9983
T=$9983-E
0.10T-0.08E=$631.34 Substitute for T.
0.10($9983-E)-0.08E=$631.34
$998.30-0.10E-0.08E=$631.34 Subtract $998.30 from each side.
-0.18E=-$366.96 Divide each side by -0.18
E=$2038.67 ANSWER 1: The amount invested at 8% was $2037.67
T=$9983-E=$9983-$2038.67=$7944.33 ANSWER 2: Amount invested at 10% was $7944.33
CHECK:
0.10T-0.08E=$631.34 
0.10($7944.33)-0.08($2038.67)=$631.34 
$794.43-$163.09=$631.34
$631.34=$631.34
.
NOTE: I personally will no longer respond to questions entered spread down the page. They are difficult to read, and take time that could be better devoted to the questions of students who enter them properly.