Question 906720
Total amount of money invested: $800
x+y=800,
Total yearly interest for the two accounts is: $43
0.05*x+0.06*y=43
x=800-y
Substitute for x
0.05*(800-y)+0.06*y=43
Multiply out
40-0.05y+0.06*y=43
Combine like terms.
0.01*y=3
Isolate y
y=$  300.00 at 6%
x=800-y
Calculate x
x=$  500.00 at 5%
Check
0.05*500+0.06*300=43
25+18=43
43=43
If this statement is TRUE and neither x nor y  is negative then all is well