Question 907556
Total amount of money invested: $39000
x+y=39000,
Total yearly interest for the two accounts is: $3350
0.05*x+0.1*y=3350
x=39000-y
Substitute for x
0.05*(39000-y)+0.1*y=3350
Multiply out
1950-0.05y+0.1*y=3350
Combine like terms.
0.05*y=1400
Isolate y
y=$28000.00 at 10%
x=39000-y
Calculate x
x=$11000.00 at 5%
Check
0.05*11000+0.1*28000=3350
550+2800=3350
3350=3350
If this statement is TRUE and neither x nor y  is negative then all is well